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Class 9 Mathematics - Sequences and Progressions - Recursive rule Easy Quiz

Mathematics Sequences and Progressions Recursive rule Easy Class 9 Topic Quiz

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Question 1/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=a_n+3\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+3\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (11)

Explanation

Simple Explanation

पद (2,5,8,11) मिलते हैं इसलिए \(a_4=11\) है। परीक्षा में हर चरण क्रम से लिखें। / The terms are (2,5,8,11), so \(a_4=11\). Exam tip: write each step in order.

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Question 2/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=10\) और \(a_{n+1}=a_n-2\) है तो \(a_5\) क्या होगा?

If \(a_1=10\) and \(a_{n+1}=a_n-2\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

A. (2)

Explanation

Simple Explanation

पद (10,8,6,4,2) हैं इसलिए \(a_5=2\) है। घटाने वाले नियम में चिह्न सावधानी से देखें। / The terms are (10,8,6,4,2), so \(a_5=2\). Exam tip: watch the sign in subtraction rules.

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Question 3/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=2a_n\) है तो \(a_4\) का मान क्या है?

If \(a_1=3\) and \(a_{n+1}=2a_n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

पद (3,6,12,24) मिलते हैं। गुणा वाले नियम में हर बार पिछले पद का उपयोग करें। / The terms are (3,6,12,24). Exam tip: in multiplication rules use the previous term each time.

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Question 4/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=64\) और \(a_{n+1}=\frac{a_n}{2}\) है तो \(a_4\) क्या होगा?

If \(a_1=64\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

पद (64,32,16,8) हैं इसलिए \(a_4=8\) है। भाग वाले नियम में हर बार नया पद आधा करें। / The terms are (64,32,16,8), so \(a_4=8\). Exam tip: halve the latest term each time.

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Question 5/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\) और \(a_{n+1}=a_n+n\) है तो \(a_5\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n+n\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

पद (1,2,4,7,11) मिलते हैं। यहाँ (n) हर चरण में बदलता है। / The terms are (1,2,4,7,11). Exam tip: here (n) changes at every step.

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Question 6/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=20\) और \(a_{n+1}=a_n-n\) है तो \(a_4\) का मान क्या होगा?

If \(a_1=20\) and \(a_{n+1}=a_n-n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (14)

Explanation

Simple Explanation

पद (20,19,17,14) हैं इसलिए \(a_4=14\) है। बदलते हुए (n) को सही क्रम में रखें। / The terms are (20,19,17,14), so \(a_4=14\). Exam tip: keep changing (n) in the correct order.

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Question 7/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\) और \(a_{n+1}=a_n+2n\) है तो \(a_4\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+2n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (16)

Explanation

Simple Explanation

पद (4,6,10,16) हैं इसलिए \(a_4=16\) है। पहले (2n) का मान निकालें फिर जोड़ें। / The terms are (4,6,10,16), so \(a_4=16\). Exam tip: find (2n) first and then add.

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Question 8/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=5\) और (a_{n+1}=a_n+(2n-1)) है तो \(a_4\) क्या होगा?

If \(a_1=5\) and (a_{n+1}=a_n+(2n-1)), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (14)

Explanation

Simple Explanation

पद (5,6,9,14) मिलते हैं। (2n-1) से विषम जोड़ बनते हैं। / The terms are (5,6,9,14). Exam tip: (2n-1) gives odd additions.

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Question 9/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=3a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=3a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

D. (18)

Explanation

Simple Explanation

पद (2,6,18) हैं इसलिए \(a_3=18\) है। गुणा वाले नियम में पिछले पद को ही गुणा करें। / The terms are (2,6,18), so \(a_3=18\). Exam tip: multiply only the previous term.

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Question 10/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\) और \(a_{n+1}=2a_n+1\) है तो \(a_4\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=2a_n+1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

पद (1,3,7,15) मिलते हैं। पहले दोगुना करें फिर (1) जोड़ें। / The terms are (1,3,7,15). Exam tip: double first and then add (1).

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Question 11/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=5\) और \(a_{n+1}=2a_n-1\) है तो \(a_3\) का मान क्या है?

If \(a_1=5\) and \(a_{n+1}=2a_n-1\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (17)

Explanation

Simple Explanation

पद (5,9,17) हैं इसलिए \(a_3=17\) है। नियम में घटाव अंत में करें। / The terms are (5,9,17), so \(a_3=17\). Exam tip: do the subtraction at the end.

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Question 12/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=a_n+5\) है तो \(a_6\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+5\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

C. (27)

Explanation

Simple Explanation

पद (2,7,12,17,22,27) हैं। समान जोड़ वाले नियम में बार-बार (5) जोड़ें। / The terms are (2,7,12,17,22,27). Exam tip: keep adding (5) in a constant-add rule.

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Question 13/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=30\) और \(a_{n+1}=a_n-4\) है तो \(a_5\) क्या होगा?

If \(a_1=30\) and \(a_{n+1}=a_n-4\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

पद (30,26,22,18,14) हैं इसलिए \(a_5=14\) है। हर चरण में (4) घटाएँ। / The terms are (30,26,22,18,14), so \(a_5=14\). Exam tip: subtract (4) at each step.

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Question 14/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\), \(a_2=3\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=2\), \(a_2=3\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (13)

Explanation

Simple Explanation

पद (2,3,5,8,13) मिलते हैं। पिछले दो पदों को जोड़कर नया पद बनता है। / The terms are (2,3,5,8,13). Exam tip: add the previous two terms to get the new term.

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Question 15/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\), \(a_2=4\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_4\) क्या होगा?

If \(a_1=1\), \(a_2=4\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

पद (1,4,5,9) हैं इसलिए \(a_4=9\) है। पिछले दो पदों की सही जोड़ी जोड़ें। / The terms are (1,4,5,9), so \(a_4=9\). Exam tip: add the correct pair of previous terms.

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Question 16/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=12\) और \(a_{n+1}=\frac{a_n}{3}\) है तो \(a_3\) क्या होगा?

If \(a_1=12\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{4}{3}\)

Explanation

Simple Explanation

पद \(12,4,\frac{4}{3}\) हैं। हर बार पिछले पद को (3) से भाग दें। / The terms are \(12,4,\frac{4}{3}\). Exam tip: divide the previous term by (3) each time.

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Question 17/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=a_n+2\) है तो कौन सा पद (11) है?

If \(a_1=3\) and \(a_{n+1}=a_n+2\), which term is (11)?

Explanation opens after your attempt
Correct Answer

C. (5)वाँ(5)th

Explanation

Simple Explanation

पद (3,5,7,9,11) हैं इसलिए (11) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें। / The terms are (3,5,7,9,11), so (11) is the fifth term. Exam tip: write terms with their positions.

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Question 18/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\) और \(a_{n+1}=a_n+4\) है तो कौन सा पद (20) है?

If \(a_1=4\) and \(a_{n+1}=a_n+4\), which term is (20)?

Explanation opens after your attempt
Correct Answer

B. (5)वाँ(5)th

Explanation

Simple Explanation

पद (4,8,12,16,20) हैं इसलिए (20) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें। / The terms are (4,8,12,16,20), so (20) is the fifth term. Exam tip: count step by step in constant growth.

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Question 19/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(5,8,11,14,\ldots\) के लिए सही recursive rule कौन सा है?

Which recursive rule is correct for the sequence \(5,8,11,14,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_1=5, a_{n+1}=a_n+3\)

Explanation

Simple Explanation

पहला पद (5) है और हर बार (3) जोड़ा गया है। नियम चुनते समय पहला पद और अंतर दोनों देखें। / The first term is (5), and (3) is added each time. Exam tip: check both first term and difference.

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Question 20/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(20,15,10,5,\ldots\) के लिए सही recursive rule कौन सा है?

Which recursive rule is correct for the sequence \(20,15,10,5,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=20, a_{n+1}=a_n-5\)

Explanation

Simple Explanation

पहला पद (20) है और हर बार (5) घटता है। घटते अनुक्रम में (+) और (-) का ध्यान रखें। / The first term is (20), and (5) is subtracted each time. Exam tip: watch (+) and (-) in decreasing sequences.

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Question 21/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(2,4,8,16,\ldots\) का recursive rule क्या है?

What is the recursive rule for the sequence \(2,4,8,16,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_1=2, a_{n+1}=2a_n\)

Explanation

Simple Explanation

पहला पद (2) है और हर पद पिछले का दोगुना है। गुणा वाला नियम पहचानने के लिए अनुपात देखें। / The first term is (2), and each term is double the previous one. Exam tip: look at the ratio to identify multiplication rules.

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Question 22/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(81,27,9,3,\ldots\) का recursive rule कौन सा है?

Which recursive rule matches the sequence \(81,27,9,3,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=81, a_{n+1}=\frac{a_n}{3}\)

Explanation

Simple Explanation

पहला पद (81) है और हर बार (3) से भाग दिया गया है। पहला पद और क्रिया दोनों सही होने चाहिए। / The first term is (81), and each term is divided by (3). Exam tip: both the first term and operation must be correct.

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Question 23/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=7\) और \(a_{n+1}=a_n+1\) है तो \(a_6\) क्या होगा?

If \(a_1=7\) and \(a_{n+1}=a_n+1\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

पद (7,8,9,10,11,12) हैं इसलिए \(a_6=12\) है। छोटे जोड़ वाले नियम में गिनती सही रखें। / The terms are (7,8,9,10,11,12), so \(a_6=12\). Exam tip: count positions carefully in small-step rules.

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Question 24/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=50\) और \(a_{n+1}=a_n-10\) है तो \(a_4\) क्या होगा?

If \(a_1=50\) and \(a_{n+1}=a_n-10\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

पद (50,40,30,20) हैं इसलिए \(a_4=20\) है। हर चरण में (10) घटाएँ। / The terms are (50,40,30,20), so \(a_4=20\). Exam tip: subtract (10) at each step.

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Question 25/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=6\) और \(a_{n+1}=a_n+2\) है तो \(a_5-a_3\) का मान क्या होगा?

If \(a_1=6\) and \(a_{n+1}=a_n+2\), what is the value of \(a_5-a_3\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

पद (6,8,10,12,14) हैं इसलिए \(a_5-a_3=14-10=4\) है। पहले दोनों पद निकालें। / The terms are (6,8,10,12,14), so \(a_5-a_3=14-10=4\). Exam tip: find both terms first.

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Question 26/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=a_n+4\) है तो \(a_2+a_4\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=a_n+4\), what is \(a_2+a_4\)?

Explanation opens after your attempt
Correct Answer

C. (22)

Explanation

Simple Explanation

पद (3,7,11,15) हैं और \(a_2+a_4=7+15=22\) है। योग से पहले जरूरी पद निकालें। / The terms are (3,7,11,15), and \(a_2+a_4=7+15=22\). Exam tip: find the needed terms before adding.

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Question 27/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=a_n^2\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n^2\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

पद (2,4,16) हैं इसलिए \(a_3=16\) है। वर्ग वाले नियम में पिछले पद का वर्ग लें। / The terms are (2,4,16), so \(a_3=16\). Exam tip: square the previous term in square rules.

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Question 28/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\) और \(a_{n+1}=a_n^2+1\) है तो \(a_3\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n^2+1\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

पद (1,2,5) मिलते हैं इसलिए \(a_3=5\) है। पहले वर्ग करें फिर (1) जोड़ें। / The terms are (1,2,5), so \(a_3=5\). Exam tip: square first and then add (1).

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Question 29/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=100\) और \(a_{n+1}=a_n-15\) है तो \(a_3\) क्या होगा?

If \(a_1=100\) and \(a_{n+1}=a_n-15\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

A. (70)

Explanation

Simple Explanation

पद (100,85,70) हैं इसलिए \(a_3=70\) है। बड़े घटाव में भी चरण न छोड़ें। / The terms are (100,85,70), so \(a_3=70\). Exam tip: do not skip steps even with large subtraction.

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Question 30/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=9\) और \(a_{n+1}=a_n+6\) है तो \(a_4\) क्या होगा?

If \(a_1=9\) and \(a_{n+1}=a_n+6\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (27)

Explanation

Simple Explanation

पद (9,15,21,27) हैं इसलिए \(a_4=27\) है। हर बार (6) जोड़ें। / The terms are (9,15,21,27), so \(a_4=27\). Exam tip: add (6) each time.

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Question 31/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=4a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=4a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (32)

Explanation

Simple Explanation

पद (2,8,32) हैं इसलिए \(a_3=32\) है। पिछले पद को (4) से गुणा करें। / The terms are (2,8,32), so \(a_3=32\). Exam tip: multiply the previous term by (4).

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Question 32/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=7\) और \(a_{n+1}=3a_n+2\) है तो \(a_2\) क्या होगा?

If \(a_1=7\) and \(a_{n+1}=3a_n+2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Explanation

Simple Explanation

\(a_2=3\times7+2=23\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ। / \(a_2=3\times7+2=23\). Exam tip: apply the rule directly to \(a_1\) for the next term.

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Question 33/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=40\) और \(a_{n+1}=\frac{a_n}{2}+1\) है तो \(a_2\) क्या होगा?

If \(a_1=40\) and \(a_{n+1}=\frac{a_n}{2}+1\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (21)

Explanation

Simple Explanation

\(a_2=\frac{40}{2}+1=21\) है। पहले आधा करें फिर (1) जोड़ें। / \(a_2=\frac{40}{2}+1=21\). Exam tip: halve first and then add (1).

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Question 34/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\) और \(a_{n+1}=a_n+3n\) है तो \(a_4\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n+3n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (19)

Explanation

Simple Explanation

पद (1,4,10,19) हैं इसलिए \(a_4=19\) है। (3n) का मान हर चरण बदलता है। / The terms are (1,4,10,19), so \(a_4=19\). Exam tip: (3n) changes at every step.

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Question 35/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=25\) और (a_{n+1}=a_n-(2n+1)) है तो \(a_3\) क्या होगा?

If \(a_1=25\) and (a_{n+1}=a_n-(2n+1)), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (17)

Explanation

Simple Explanation

पद (25,22,17) हैं इसलिए \(a_3=17\) है। (2n+1) को हर चरण में सही निकालें। / The terms are (25,22,17), so \(a_3=17\). Exam tip: calculate (2n+1) correctly at each step.

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Question 36/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\), \(a_2=5\) और \(a_n=a_{n-1}+2\) है तो \(a_4\) क्या होगा?

If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

\(a_3=7\) और \(a_4=9\) है। \(a_n\) पिछले पद से (2) अधिक है। / \(a_3=7\) and \(a_4=9\). Exam tip: \(a_n\) is (2) more than the previous term.

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Question 37/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=1\), \(a_2=2\) और \(a_n=2a_{n-1}\) है तो \(a_5\) क्या होगा?

If \(a_1=1\), \(a_2=2\), and \(a_n=2a_{n-1}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

पद (1,2,4,8,16) हैं इसलिए \(a_5=16\) है। पिछले पद को हर बार (2) से गुणा करें। / The terms are (1,2,4,8,16), so \(a_5=16\). Exam tip: multiply the previous term by (2) each time.

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Question 38/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\), \(a_2=5\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=3\), \(a_2=5\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

D. (34)

Explanation

Simple Explanation

पद (3,5,8,13,21,34) हैं इसलिए \(a_6=34\) है। दो पिछले पदों को जोड़ते समय क्रमांक लिखें। / The terms are (3,5,8,13,21,34), so \(a_6=34\). Exam tip: write positions while adding previous two terms.

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Question 39/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(4,7,10,13,\ldots\) में recursive rule के अनुसार अगला पद क्या है?

According to the recursive rule in the sequence \(4,7,10,13,\ldots\), what is the next term?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

हर बार (3) जोड़ा गया है इसलिए अगला पद (13+3=16) है। अंतर देखकर अगला पद निकालें। / (3) is added each time, so the next term is (13+3=16). Exam tip: use the difference to find the next term.

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Question 40/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(32,16,8,4,\ldots\) में recursive rule के अनुसार अगला पद क्या होगा?

According to the recursive rule in the sequence \(32,16,8,4,\ldots\), what will be the next term?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

हर बार पद आधा हो रहा है इसलिए अगला पद (2) है। भाग वाले अनुक्रम में पिछले पद को आधा करें। / Each term is being halved, so the next term is (2). Exam tip: halve the previous term in such sequences.

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Question 41/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(6,12,18,24,\ldots\) के लिए \(a_1=6\) है। recursive rule में क्या जोड़ा जाएगा?

For the sequence \(6,12,18,24,\ldots\), \(a_1=6\). What is added in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

हर अगला पद पिछले से (6) अधिक है। इसलिए नियम \(a_{n+1}=a_n+6\) होगा। / Each next term is (6) more than the previous term. So the rule is \(a_{n+1}=a_n+6\).

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Question 42/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(18,15,12,9,\ldots\) के लिए recursive rule में क्या घटाया जाएगा?

For the sequence \(18,15,12,9,\ldots\), what is subtracted in the recursive rule?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

हर अगला पद पिछले से (3) कम है। इसलिए \(a_{n+1}=a_n-3\) होगा। / Each next term is (3) less than the previous term. So \(a_{n+1}=a_n-3\).

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Question 43/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(3,9,27,81,\ldots\) में recursive rule का गुणक क्या है?

In the sequence \(3,9,27,81,\ldots\), what is the multiplier in the recursive rule?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

हर अगला पद पिछले पद का (3) गुना है। इसलिए गुणक (3) है। / Each next term is (3) times the previous term. Therefore the multiplier is (3).

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Question 44/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=11\) और \(a_{n+1}=a_n+7\) है तो \(a_3\) क्या होगा?

If \(a_1=11\) and \(a_{n+1}=a_n+7\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (25)

Explanation

Simple Explanation

पद (11,18,25) हैं इसलिए \(a_3=25\) है। दो बार (7) जोड़ना है। / The terms are (11,18,25), so \(a_3=25\). Exam tip: add (7) twice.

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Question 45/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=5\) और \(a_{n+1}=a_n+9\) है तो \(a_4\) का मान क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+9\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (32)

Explanation

Simple Explanation

पद (5,14,23,32) हैं इसलिए \(a_4=32\) है। समान जोड़ को हर चरण में दोहराएँ। / The terms are (5,14,23,32), so \(a_4=32\). Exam tip: repeat the constant addition at every step.

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Question 46/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=90\) और \(a_{n+1}=\frac{a_n}{3}\) है तो \(a_4\) क्या होगा?

If \(a_1=90\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Explanation

Simple Explanation

पद \(90,30,10,\frac{10}{3}\) नहीं बल्कि \(a_3=10\) और \(a_4=\frac{10}{3}\) है। इसलिए विकल्पों में सही मान नहीं है। / The terms are \(90,30,10,\frac{10}{3}\), so \(a_4=\frac{10}{3}\). None of the listed options is correct.

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Question 47/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=90\) और \(a_{n+1}=\frac{a_n}{3}\) है तो \(a_3\) क्या होगा?

If \(a_1=90\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

पद (90,30,10) हैं इसलिए \(a_3=10\) है। भाग वाले नियम में हर बार पिछले पद को (3) से भाग दें। / The terms are (90,30,10), so \(a_3=10\). Exam tip: divide the previous term by (3) each time.

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Question 48/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\) और \(a_{n+1}=a_n+n+1\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+n+1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

पद (2,4,7,11) हैं इसलिए \(a_4=11\) है। (n+1) हर चरण में बदलता है। / The terms are (2,4,7,11), so \(a_4=11\). Exam tip: (n+1) changes at every step.

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Question 49/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=a_n+2n+2\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=a_n+2n+2\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

\(a_2=3+4=7\) और \(a_3=7+6=13\) है। प्रत्येक चरण में (n) का नया मान लगाएँ। / \(a_2=3+4=7\) and \(a_3=7+6=13\). Exam tip: use the new value of (n) at each step.

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Question 50/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\), \(a_2=6\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=4\), \(a_2=6\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (26)

Explanation

Simple Explanation

पद (4,6,10,16,26) मिलते हैं इसलिए \(a_5=26\) है। पिछले दो पदों को सही क्रम में जोड़ें। / The terms are (4,6,10,16,26), so \(a_5=26\). Exam tip: add the previous two terms in the correct order.

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Question 51/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=4\) और \(a_{n+1}=a_n+2\) है तो \(a_5\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+2\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (12)

Explanation

Simple Explanation

पद (4,6,8,10,12) हैं इसलिए \(a_5=12\) है। हर चरण में (2) जोड़ें। / The terms are (4,6,8,10,12), so \(a_5=12\). Exam tip: add (2) at each step.

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Question 52/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=18\) और \(a_{n+1}=a_n-3\) है तो \(a_4\) क्या होगा?

If \(a_1=18\) and \(a_{n+1}=a_n-3\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (9)

Explanation

Simple Explanation

पद (18,15,12,9) हैं इसलिए \(a_4=9\) है। घटाने वाले नियम में चिह्न सही रखें। / The terms are (18,15,12,9), so \(a_4=9\). Exam tip: keep the sign correct in subtraction rules.

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Question 53/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\) और \(a_{n+1}=2a_n\) है तो \(a_3\) का मान क्या है?

If \(a_1=5\) and \(a_{n+1}=2a_n\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

A. (20)

Explanation

Simple Explanation

पद (5,10,20) हैं इसलिए \(a_3=20\) है। हर बार पिछले पद को (2) से गुणा करें। / The terms are (5,10,20), so \(a_3=20\). Exam tip: multiply the previous term by (2) each time.

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Question 54/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=48\) और \(a_{n+1}=\frac{a_n}{2}\) है तो \(a_5\) क्या होगा?

If \(a_1=48\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

पद (48,24,12,6,3) हैं इसलिए \(a_5=3\) है। भाग वाले नियम में हर बार नया पद आधा करें। / The terms are (48,24,12,6,3), so \(a_5=3\). Exam tip: halve the newest term each time.

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Question 55/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\) और \(a_{n+1}=a_n+n\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

पद (2,3,5,8) हैं इसलिए \(a_4=8\) है। यहाँ (n) का मान हर चरण में बदलता है। / The terms are (2,3,5,8), so \(a_4=8\). Exam tip: the value of (n) changes at each step.

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Question 56/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=15\) और \(a_{n+1}=a_n-n\) है तो \(a_5\) क्या होगा?

If \(a_1=15\) and \(a_{n+1}=a_n-n\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

पद (15,14,12,9,5) नहीं बल्कि \(a_5=5\) होता है। दिए गए विकल्पों में सही मान नहीं है। / The terms are (15,14,12,9,5), so \(a_5=5\). None of the listed options is correct.

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Question 57/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=15\) और \(a_{n+1}=a_n-n\) है तो \(a_4\) क्या होगा?

If \(a_1=15\) and \(a_{n+1}=a_n-n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

पद (15,14,12,9) हैं इसलिए \(a_4=9\) है। (n) को (1,2,3) के क्रम में घटाएँ। / The terms are (15,14,12,9), so \(a_4=9\). Exam tip: subtract (n) in the order (1,2,3).

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Question 58/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=3\) और \(a_{n+1}=a_n+2n\) है तो \(a_5\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=a_n+2n\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

D. (23)

Explanation

Simple Explanation

पद (3,5,9,15,23) हैं इसलिए \(a_5=23\) है। पहले (2n) निकालें फिर जोड़ें। / The terms are (3,5,9,15,23), so \(a_5=23\). Exam tip: find (2n) first and then add.

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Question 59/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=6\) और (a_{n+1}=a_n+(2n-1)) है तो \(a_5\) क्या होगा?

If \(a_1=6\) and (a_{n+1}=a_n+(2n-1)), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (22)

Explanation

Simple Explanation

पद (6,7,10,15,22) हैं इसलिए \(a_5=22\) है। (2n-1) से (1,3,5,7) जुड़ते हैं। / The terms are (6,7,10,15,22), so \(a_5=22\). Exam tip: (2n-1) adds (1,3,5,7).

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Question 60/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=4\) और \(a_{n+1}=3a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=3a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (36)

Explanation

Simple Explanation

पद (4,12,36) हैं इसलिए \(a_3=36\) है। पिछले पद को (3) से गुणा करें। / The terms are (4,12,36), so \(a_3=36\). Exam tip: multiply the previous term by (3).

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Question 61/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\) और \(a_{n+1}=2a_n+1\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=2a_n+1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (23)

Explanation

Simple Explanation

पद (2,5,11,23) हैं इसलिए \(a_4=23\) है। पहले दोगुना करें फिर (1) जोड़ें। / The terms are (2,5,11,23), so \(a_4=23\). Exam tip: double first and then add (1).

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Question 62/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=6\) और \(a_{n+1}=2a_n-2\) है तो \(a_3\) का मान क्या है?

If \(a_1=6\) and \(a_{n+1}=2a_n-2\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

पद (6,10,18) हैं इसलिए \(a_3=18\) है। नियम में घटाव गुणा के बाद करें। / The terms are (6,10,18), so \(a_3=18\). Exam tip: subtract after multiplication.

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Question 63/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=1\) और \(a_{n+1}=a_n+6\) है तो \(a_6\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n+6\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

D. (31)

Explanation

Simple Explanation

पद (1,7,13,19,25,31) हैं इसलिए \(a_6=31\) है। समान जोड़ में क्रमांक सावधानी से गिनें। / The terms are (1,7,13,19,25,31), so \(a_6=31\). Exam tip: count positions carefully in constant addition.

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Question 64/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=45\) और \(a_{n+1}=a_n-5\) है तो \(a_6\) क्या होगा?

If \(a_1=45\) and \(a_{n+1}=a_n-5\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

पद (45,40,35,30,25,20) हैं इसलिए \(a_6=20\) है। हर बार (5) घटाएँ। / The terms are (45,40,35,30,25,20), so \(a_6=20\). Exam tip: subtract (5) at each step.

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Question 65/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=1\), \(a_2=3\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=1\), \(a_2=3\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

पद (1,3,4,7,11,18) हैं इसलिए \(a_6=18\) है। पिछले दो पदों को जोड़कर अगला पद बनता है। / The terms are (1,3,4,7,11,18), so \(a_6=18\). Exam tip: add the previous two terms to get the next one.

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Question 66/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\), \(a_2=6\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=2\), \(a_2=6\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

D. (22)

Explanation

Simple Explanation

पद (2,6,8,14,22) हैं इसलिए \(a_5=22\) है। दो पिछले पदों को सही क्रम में जोड़ें। / The terms are (2,6,8,14,22), so \(a_5=22\). Exam tip: add the previous two terms in the correct order.

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Question 67/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=27\) और \(a_{n+1}=\frac{a_n}{3}\) है तो \(a_4\) क्या होगा?

If \(a_1=27\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

पद (27,9,3,1) हैं इसलिए \(a_4=1\) है। हर चरण में (3) से भाग दें। / The terms are (27,9,3,1), so \(a_4=1\). Exam tip: divide by (3) at every step.

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Question 68/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=8\) और \(a_{n+1}=a_n+3\) है तो कौन सा पद (20) है?

If \(a_1=8\) and \(a_{n+1}=a_n+3\), which term is (20)?

Explanation opens after your attempt
Correct Answer

C. (5)वाँ(5)th

Explanation

Simple Explanation

पद (8,11,14,17,20) हैं इसलिए (20) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें। / The terms are (8,11,14,17,20), so (20) is the fifth term. Exam tip: write terms with their positions.

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Question 69/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=6\) और \(a_{n+1}=a_n+6\) है तो कौन सा पद (30) है?

If \(a_1=6\) and \(a_{n+1}=a_n+6\), which term is (30)?

Explanation opens after your attempt
Correct Answer

B. (5)वाँ(5)th

Explanation

Simple Explanation

पद (6,12,18,24,30) हैं इसलिए (30) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें। / The terms are (6,12,18,24,30), so (30) is the fifth term. Exam tip: count step by step in constant growth.

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Question 70/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(7,11,15,19,\ldots\) के लिए सही recursive rule कौन सा है?

Which recursive rule is correct for the sequence \(7,11,15,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_1=7, a_{n+1}=a_n+4\)

Explanation

Simple Explanation

पहला पद (7) है और हर बार (4) जुड़ता है। नियम में पहला पद और जोड़ दोनों सही होने चाहिए। / The first term is (7), and (4) is added each time. Exam tip: both the first term and addition must be correct.

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Question 71/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(25,20,15,10,\ldots\) के लिए सही recursive rule कौन सा है?

Which recursive rule is correct for the sequence \(25,20,15,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=25, a_{n+1}=a_n-5\)

Explanation

Simple Explanation

पहला पद (25) है और हर बार (5) घटता है। घटते अनुक्रम में (-) चिह्न देखें। / The first term is (25), and (5) is subtracted each time. Exam tip: watch the (-) sign in decreasing sequences.

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Question 72/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(4,12,36,108,\ldots\) का recursive rule क्या है?

What is the recursive rule for the sequence \(4,12,36,108,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=4, a_{n+1}=3a_n\)

Explanation

Simple Explanation

पहला पद (4) है और हर पद पिछले का (3) गुना है। गुणा नियम पहचानने के लिए अनुपात देखें। / The first term is (4), and each term is (3) times the previous one. Exam tip: check the ratio to identify multiplication rules.

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Question 73/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(100,50,25,\ldots\) का सही recursive rule कौन सा है?

Which recursive rule matches the sequence \(100,50,25,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=100, a_{n+1}=\frac{a_n}{2}\)

Explanation

Simple Explanation

पहला पद (100) है और हर बार आधा किया गया है। पहला पद और क्रिया दोनों सही देखें। / The first term is (100), and each term is halved. Exam tip: check both the first term and the operation.

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Question 74/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=12\) और \(a_{n+1}=a_n+1\) है तो \(a_5\) क्या होगा?

If \(a_1=12\) and \(a_{n+1}=a_n+1\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

पद (12,13,14,15,16) हैं इसलिए \(a_5=16\) है। छोटे जोड़ में भी क्रमांक सावधानी से गिनें। / The terms are (12,13,14,15,16), so \(a_5=16\). Exam tip: count positions carefully even in small additions.

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Question 75/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=80\) और \(a_{n+1}=a_n-20\) है तो \(a_4\) क्या होगा?

If \(a_1=80\) and \(a_{n+1}=a_n-20\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

पद (80,60,40,20) हैं इसलिए \(a_4=20\) है। हर बार (20) घटाएँ। / The terms are (80,60,40,20), so \(a_4=20\). Exam tip: subtract (20) each time.

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Question 76/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=7\) और \(a_{n+1}=a_n+3\) है तो \(a_5-a_2\) का मान क्या होगा?

If \(a_1=7\) and \(a_{n+1}=a_n+3\), what is the value of \(a_5-a_2\)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

पद (7,10,13,16,19) हैं इसलिए \(a_5-a_2=19-10=9\) है। पहले दोनों पद निकालें। / The terms are (7,10,13,16,19), so \(a_5-a_2=19-10=9\). Exam tip: find both terms first.

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Question 77/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\) और \(a_{n+1}=a_n+4\) है तो \(a_3+a_4\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+4\), what is \(a_3+a_4\)?

Explanation opens after your attempt
Correct Answer

C. (26)

Explanation

Simple Explanation

पद (5,9,13,17) हैं और \(a_3+a_4=13+17=30\) नहीं है इसलिए विकल्प सही नहीं हैं। / The terms are (5,9,13,17), and \(a_3+a_4=30\). None of the options is correct.

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Question 78/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\) और \(a_{n+1}=a_n+4\) है तो \(a_2+a_4\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+4\), what is \(a_2+a_4\)?

Explanation opens after your attempt
Correct Answer

C. (26)

Explanation

Simple Explanation

पद (5,9,13,17) हैं और \(a_2+a_4=9+17=26\) है। योग से पहले जरूरी पद निकालें। / The terms are (5,9,13,17), and \(a_2+a_4=9+17=26\). Exam tip: find the needed terms before adding.

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Question 79/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=3\) और \(a_{n+1}=a_n^2\) है तो \(a_2\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=a_n^2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

\(a_2=3^2=9\) है। वर्ग वाले नियम में पिछले पद का वर्ग लें। / \(a_2=3^2=9\). Exam tip: square the previous term in square rules.

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Question 80/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\) और \(a_{n+1}=a_n^2+2\) है तो \(a_2\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n^2+2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

\(a_2=2^2+2=6\) है। पहले वर्ग करें फिर (2) जोड़ें। / \(a_2=2^2+2=6\). Exam tip: square first and then add (2).

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Question 81/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=120\) और \(a_{n+1}=a_n-25\) है तो \(a_3\) क्या होगा?

If \(a_1=120\) and \(a_{n+1}=a_n-25\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (70)

Explanation

Simple Explanation

पद (120,95,70) हैं इसलिए \(a_3=70\) है। बड़े घटाव में भी चरण न छोड़ें। / The terms are (120,95,70), so \(a_3=70\). Exam tip: do not skip steps even with large subtraction.

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Question 82/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=13\) और \(a_{n+1}=a_n+8\) है तो \(a_4\) क्या होगा?

If \(a_1=13\) and \(a_{n+1}=a_n+8\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (37)

Explanation

Simple Explanation

पद (13,21,29,37) हैं इसलिए \(a_4=37\) है। हर बार (8) जोड़ें। / The terms are (13,21,29,37), so \(a_4=37\). Exam tip: add (8) each time.

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Question 83/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=3\) और \(a_{n+1}=5a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=5a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

D. (75)

Explanation

Simple Explanation

पद (3,15,75) हैं इसलिए \(a_3=75\) है। पिछले पद को (5) से गुणा करें। / The terms are (3,15,75), so \(a_3=75\). Exam tip: multiply the previous term by (5).

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Question 84/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=4\) और \(a_{n+1}=3a_n+1\) है तो \(a_2\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=3a_n+1\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

B. (13)

Explanation

Simple Explanation

\(a_2=3\times4+1=13\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ। / \(a_2=3\times4+1=13\). Exam tip: apply the rule directly to \(a_1\) for the next term.

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Question 85/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=36\) और \(a_{n+1}=\frac{a_n}{2}+2\) है तो \(a_2\) क्या होगा?

If \(a_1=36\) and \(a_{n+1}=\frac{a_n}{2}+2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

\(a_2=\frac{36}{2}+2=20\) है। पहले आधा करें फिर (2) जोड़ें। / \(a_2=\frac{36}{2}+2=20\). Exam tip: halve first and then add (2).

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Question 86/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\) और \(a_{n+1}=a_n+4n\) है तो \(a_4\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+4n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (26)

Explanation

Simple Explanation

पद (2,6,14,26) हैं इसलिए \(a_4=26\) है। (4n) का मान हर चरण में बदलता है। / The terms are (2,6,14,26), so \(a_4=26\). Exam tip: (4n) changes at every step.

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Question 87/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=30\) और (a_{n+1}=a_n-(n+2)) है तो \(a_3\) क्या होगा?

If \(a_1=30\) and (a_{n+1}=a_n-(n+2)), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (23)

Explanation

Simple Explanation

पद (30,27,23) हैं इसलिए \(a_3=23\) है। प्रत्येक चरण में (n+2) सही निकालें। / The terms are (30,27,23), so \(a_3=23\). Exam tip: calculate (n+2) correctly at each step.

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Question 88/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\), \(a_2=8\) और \(a_n=a_{n-1}+3\) है तो \(a_5\) क्या होगा?

If \(a_1=5\), \(a_2=8\), and \(a_n=a_{n-1}+3\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (17)

Explanation

Simple Explanation

पद (5,8,11,14,17) हैं इसलिए \(a_5=17\) है। \(a_n\) पिछले पद से (3) अधिक है। / The terms are (5,8,11,14,17), so \(a_5=17\). Exam tip: \(a_n\) is (3) more than the previous term.

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Question 89/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=2\), \(a_2=4\) और \(a_n=3a_{n-1}\) है तो \(a_4\) क्या होगा?

If \(a_1=2\), \(a_2=4\), and \(a_n=3a_{n-1}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (36)

Explanation

Simple Explanation

\(a_3=12\) और \(a_4=36\) है। पिछले पद को हर बार (3) से गुणा करें। / \(a_3=12\) and \(a_4=36\). Exam tip: multiply the previous term by (3) each time.

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Question 90/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\), \(a_2=7\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=5\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (36)

Explanation

Simple Explanation

पद (5,7,12,19,31,50) नहीं बल्कि \(a_6=50\) है। दिए गए विकल्पों में सही मान नहीं है। / The terms are (5,7,12,19,31,50), so \(a_6=50\). None of the listed options is correct.

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Question 91/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=5\), \(a_2=7\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=5\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (31)

Explanation

Simple Explanation

पद (5,7,12,19,31) हैं इसलिए \(a_5=31\) है। पिछले दो पदों को जोड़कर नया पद बनता है। / The terms are (5,7,12,19,31), so \(a_5=31\). Exam tip: add the previous two terms to get the new term.

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Question 92/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(9,13,17,21,\ldots\) में recursive rule के अनुसार अगला पद क्या है?

According to the recursive rule in the sequence \(9,13,17,21,\ldots\), what is the next term?

Explanation opens after your attempt
Correct Answer

C. (25)

Explanation

Simple Explanation

हर बार (4) जोड़ा गया है इसलिए अगला पद (21+4=25) है। अंतर देखकर अगला पद निकालें। / (4) is added each time, so the next term is (21+4=25). Exam tip: use the difference to find the next term.

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Question 93/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(64,32,16,8,\ldots\) में recursive rule के अनुसार अगला पद क्या होगा?

According to the recursive rule in the sequence \(64,32,16,8,\ldots\), what will be the next term?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

हर बार पद आधा हो रहा है इसलिए अगला पद (4) है। पिछले पद को (2) से भाग दें। / Each term is being halved, so the next term is (4). Exam tip: divide the previous term by (2).

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Question 94/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(8,16,24,32,\ldots\) के लिए \(a_1=8\) है। recursive rule में क्या जोड़ा जाएगा?

For the sequence \(8,16,24,32,\ldots\), \(a_1=8\). What is added in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

हर अगला पद पिछले से (8) अधिक है। इसलिए नियम \(a_{n+1}=a_n+8\) होगा। / Each next term is (8) more than the previous term. So the rule is \(a_{n+1}=a_n+8\).

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Question 95/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(42,36,30,24,\ldots\) के लिए recursive rule में क्या घटाया जाएगा?

For the sequence \(42,36,30,24,\ldots\), what is subtracted in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

हर अगला पद पिछले से (6) कम है। इसलिए \(a_{n+1}=a_n-6\) होगा। / Each next term is (6) less than the previous term. So \(a_{n+1}=a_n-6\).

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Question 96/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

अनुक्रम \(5,20,80,320,\ldots\) में recursive rule का गुणक क्या है?

In the sequence \(5,20,80,320,\ldots\), what is the multiplier in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

हर अगला पद पिछले पद का (4) गुना है। इसलिए गुणक (4) है। / Each next term is (4) times the previous term. Therefore the multiplier is (4).

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Question 97/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=14\) और \(a_{n+1}=a_n+7\) है तो \(a_4\) क्या होगा?

If \(a_1=14\) and \(a_{n+1}=a_n+7\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (35)

Explanation

Simple Explanation

पद (14,21,28,35) हैं इसलिए \(a_4=35\) है। तीन बार (7) जोड़ना है। / The terms are (14,21,28,35), so \(a_4=35\). Exam tip: add (7) three times.

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Question 98/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=6\) और \(a_{n+1}=a_n+10\) है तो \(a_3\) का मान क्या होगा?

If \(a_1=6\) and \(a_{n+1}=a_n+10\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (26)

Explanation

Simple Explanation

पद (6,16,26) हैं इसलिए \(a_3=26\) है। समान जोड़ को हर चरण में दोहराएँ। / The terms are (6,16,26), so \(a_3=26\). Exam tip: repeat the constant addition at every step.

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Question 99/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=96\) और \(a_{n+1}=\frac{a_n}{4}\) है तो \(a_3\) क्या होगा?

If \(a_1=96\) and \(a_{n+1}=\frac{a_n}{4}\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

पद (96,24,6) हैं इसलिए \(a_3=6\) है। हर बार पिछले पद को (4) से भाग दें। / The terms are (96,24,6), so \(a_3=6\). Exam tip: divide the previous term by (4) each time.

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Question 100/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 48

यदि \(a_1=1\), \(a_2=5\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=1\), \(a_2=5\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

पद (1,5,6,11,17) हैं इसलिए \(a_5=17\) है। पिछले दो पदों को सही क्रम में जोड़ें। / The terms are (1,5,6,11,17), so \(a_5=17\). Exam tip: add the previous two terms in the correct order.

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Question 101/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=9\) और \(a_{n+1}=a_n+2\) है तो \(a_4\) क्या होगा?

If \(a_1=9\) and \(a_{n+1}=a_n+2\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

पद (9,11,13,15) हैं इसलिए \(a_4=15\) है। हर चरण में (2) जोड़ें। / The terms are (9,11,13,15), so \(a_4=15\). Exam tip: add (2) at each step.

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Question 102/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=28\) और \(a_{n+1}=a_n-4\) है तो \(a_5\) क्या होगा?

If \(a_1=28\) and \(a_{n+1}=a_n-4\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

पद (28,24,20,16,12) हैं इसलिए \(a_5=12\) है। घटाव वाले नियम में हर बार पिछले पद से घटाएँ। / The terms are (28,24,20,16,12), so \(a_5=12\). Exam tip: subtract from the previous term each time.

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Question 103/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=6\) और \(a_{n+1}=2a_n\) है तो \(a_4\) का मान क्या होगा?

If \(a_1=6\) and \(a_{n+1}=2a_n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (48)

Explanation

Simple Explanation

पद (6,12,24,48) हैं इसलिए \(a_4=48\) है। गुणा वाले नियम में पिछले पद को ही दोगुना करें। / The terms are (6,12,24,48), so \(a_4=48\). Exam tip: double only the previous term.

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Question 104/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=96\) और \(a_{n+1}=\frac{a_n}{2}\) है तो \(a_4\) क्या होगा?

If \(a_1=96\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (12)

Explanation

Simple Explanation

पद (96,48,24,12) हैं इसलिए \(a_4=12\) है। भाग वाले नियम में हर बार नया पद आधा करें। / The terms are (96,48,24,12), so \(a_4=12\). Exam tip: halve the newest term each time.

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Question 105/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=4\) और \(a_{n+1}=a_n+n\) है तो \(a_5\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+n\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

पद (4,5,7,10,14) हैं इसलिए \(a_5=14\) है। (n) का मान हर चरण में बदलता है। / The terms are (4,5,7,10,14), so \(a_5=14\). Exam tip: the value of (n) changes at every step.

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Question 106/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=22\) और \(a_{n+1}=a_n-n\) है तो \(a_4\) क्या होगा?

If \(a_1=22\) and \(a_{n+1}=a_n-n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (16)

Explanation

Simple Explanation

पद (22,21,19,16) हैं इसलिए \(a_4=16\) है। (n) को (1,2,3) के क्रम में घटाएँ। / The terms are (22,21,19,16), so \(a_4=16\). Exam tip: subtract (n) in the order (1,2,3).

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Question 107/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=5\) और \(a_{n+1}=a_n+3n\) है तो \(a_4\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+3n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (23)

Explanation

Simple Explanation

पद (5,8,14,23) हैं इसलिए \(a_4=23\) है। पहले (3n) निकालें फिर जोड़ें। / The terms are (5,8,14,23), so \(a_4=23\). Exam tip: find (3n) first and then add.

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Question 108/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=8\) और (a_{n+1}=a_n+(2n-1)) है तो \(a_4\) क्या होगा?

If \(a_1=8\) and (a_{n+1}=a_n+(2n-1)), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

पद (8,9,12,17) हैं इसलिए \(a_4=17\) है। (2n-1) से विषम संख्याएँ जुड़ती हैं। / The terms are (8,9,12,17), so \(a_4=17\). Exam tip: (2n-1) adds odd numbers.

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Question 109/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=3\) और \(a_{n+1}=4a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=4a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (48)

Explanation

Simple Explanation

पद (3,12,48) हैं इसलिए \(a_3=48\) है। पिछले पद को (4) से गुणा करें। / The terms are (3,12,48), so \(a_3=48\). Exam tip: multiply the previous term by (4).

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Question 110/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=3\) और \(a_{n+1}=2a_n+1\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=2a_n+1\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

पद (3,7,15) हैं इसलिए \(a_3=15\) है। पहले दोगुना करें फिर (1) जोड़ें। / The terms are (3,7,15), so \(a_3=15\). Exam tip: double first and then add (1).

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Question 111/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=7\) और \(a_{n+1}=2a_n-3\) है तो \(a_3\) का मान क्या होगा?

If \(a_1=7\) and \(a_{n+1}=2a_n-3\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (19)

Explanation

Simple Explanation

पद (7,11,19) हैं इसलिए \(a_3=19\) है। गुणा के बाद (3) घटाएँ। / The terms are (7,11,19), so \(a_3=19\). Exam tip: subtract (3) after multiplication.

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Question 112/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\) और \(a_{n+1}=a_n+7\) है तो \(a_5\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=a_n+7\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

पद (2,9,16,23,30) हैं इसलिए \(a_5=30\) है। समान जोड़ में क्रमांक सावधानी से गिनें। / The terms are (2,9,16,23,30), so \(a_5=30\). Exam tip: count positions carefully in constant addition.

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Question 113/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=60\) और \(a_{n+1}=a_n-6\) है तो \(a_6\) क्या होगा?

If \(a_1=60\) and \(a_{n+1}=a_n-6\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

पद (60,54,48,42,36,30) हैं इसलिए \(a_6=30\) है। हर बार (6) घटाएँ। / The terms are (60,54,48,42,36,30), so \(a_6=30\). Exam tip: subtract (6) each time.

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Question 114/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=4\), \(a_2=7\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=4\), \(a_2=7\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

D. (29)

Explanation

Simple Explanation

पद (4,7,11,18,29) हैं इसलिए \(a_5=29\) है। पिछले दो पदों को जोड़कर नया पद बनता है। / The terms are (4,7,11,18,29), so \(a_5=29\). Exam tip: add the previous two terms to get the new term.

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Question 115/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=3\), \(a_2=8\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_4\) क्या होगा?

If \(a_1=3\), \(a_2=8\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (19)

Explanation

Simple Explanation

पद (3,8,11,19) हैं इसलिए \(a_4=19\) है। पिछले दो पदों की सही जोड़ी जोड़ें। / The terms are (3,8,11,19), so \(a_4=19\). Exam tip: add the correct pair of previous terms.

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Question 116/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=45\) और \(a_{n+1}=\frac{a_n}{3}\) है तो \(a_3\) क्या होगा?

If \(a_1=45\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

पद (45,15,5) हैं इसलिए \(a_3=5\) है। हर बार पिछले पद को (3) से भाग दें। / The terms are (45,15,5), so \(a_3=5\). Exam tip: divide the previous term by (3) each time.

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Question 117/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=5\) और \(a_{n+1}=a_n+4\) है तो कौन सा पद (21) है?

If \(a_1=5\) and \(a_{n+1}=a_n+4\), which term is (21)?

Explanation opens after your attempt
Correct Answer

C. (5)वाँ(5)th

Explanation

Simple Explanation

पद (5,9,13,17,21) हैं इसलिए (21) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें। / The terms are (5,9,13,17,21), so (21) is the fifth term. Exam tip: write terms with their positions.

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Question 118/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=10\) और \(a_{n+1}=a_n+5\) है तो कौन सा पद (30) है?

If \(a_1=10\) and \(a_{n+1}=a_n+5\), which term is (30)?

Explanation opens after your attempt
Correct Answer

B. (5)वाँ(5)th

Explanation

Simple Explanation

पद (10,15,20,25,30) हैं इसलिए (30) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें। / The terms are (10,15,20,25,30), so (30) is the fifth term. Exam tip: count step by step in constant growth.

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Question 119/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(12,15,18,21,\ldots\) के लिए सही पुनरावर्ती नियम कौन सा है?

Which recursive rule is correct for the sequence \(12,15,18,21,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_1=12, a_{n+1}=a_n+3\)

Explanation

Simple Explanation

पहला पद (12) है और हर बार (3) जुड़ता है। नियम में पहला पद और जोड़ दोनों सही होने चाहिए। / The first term is (12), and (3) is added each time. Exam tip: both the first term and addition must be correct.

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Question 120/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(36,31,26,21,\ldots\) के लिए सही पुनरावर्ती नियम कौन सा है?

Which recursive rule is correct for the sequence \(36,31,26,21,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=36, a_{n+1}=a_n-5\)

Explanation

Simple Explanation

पहला पद (36) है और हर बार (5) घटता है। घटते अनुक्रम में (-) चिह्न देखें। / The first term is (36), and (5) is subtracted each time. Exam tip: watch the (-) sign in decreasing sequences.

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Question 121/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(3,15,75,375,\ldots\) का पुनरावर्ती नियम क्या है?

What is the recursive rule for the sequence \(3,15,75,375,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=3, a_{n+1}=5a_n\)

Explanation

Simple Explanation

पहला पद (3) है और हर पद पिछले का (5) गुना है। गुणा नियम पहचानने के लिए अनुपात देखें। / The first term is (3), and each term is (5) times the previous one. Exam tip: check the ratio to identify multiplication rules.

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Question 122/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(72,24,8,\ldots\) का सही पुनरावर्ती नियम कौन सा है?

Which recursive rule matches the sequence \(72,24,8,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_1=72, a_{n+1}=\frac{a_n}{3}\)

Explanation

Simple Explanation

पहला पद (72) है और हर बार (3) से भाग दिया गया है। पहला पद और क्रिया दोनों सही देखें। / The first term is (72), and each term is divided by (3). Exam tip: check both the first term and operation.

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Question 123/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=20\) और \(a_{n+1}=a_n+1\) है तो \(a_4\) क्या होगा?

If \(a_1=20\) and \(a_{n+1}=a_n+1\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Explanation

Simple Explanation

पद (20,21,22,23) हैं इसलिए \(a_4=23\) है। छोटे जोड़ में भी क्रमांक सावधानी से गिनें। / The terms are (20,21,22,23), so \(a_4=23\). Exam tip: count positions carefully even in small additions.

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Question 124/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=100\) और \(a_{n+1}=a_n-25\) है तो \(a_4\) क्या होगा?

If \(a_1=100\) and \(a_{n+1}=a_n-25\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (25)

Explanation

Simple Explanation

पद (100,75,50,25) हैं इसलिए \(a_4=25\) है। हर बार (25) घटाएँ। / The terms are (100,75,50,25), so \(a_4=25\). Exam tip: subtract (25) each time.

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Question 125/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=4\) और \(a_{n+1}=a_n+6\) है तो \(a_5-a_2\) का मान क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+6\), what is the value of \(a_5-a_2\)?

Explanation opens after your attempt
Correct Answer

B. (18)

Explanation

Simple Explanation

पद (4,10,16,22,28) हैं इसलिए \(a_5-a_2=28-10=18\) है। पहले दोनों पद निकालें। / The terms are (4,10,16,22,28), so \(a_5-a_2=28-10=18\). Exam tip: find both terms first.

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Question 126/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=8\) और \(a_{n+1}=a_n+5\) है तो \(a_2+a_4\) क्या होगा?

If \(a_1=8\) and \(a_{n+1}=a_n+5\), what is \(a_2+a_4\)?

Explanation opens after your attempt
Correct Answer

B. (36)

Explanation

Simple Explanation

पद (8,13,18,23) हैं और \(a_2+a_4=13+23=36\) है। योग से पहले जरूरी पद निकालें। / The terms are (8,13,18,23), and \(a_2+a_4=13+23=36\). Exam tip: find the needed terms before adding.

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Question 127/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=4\) और \(a_{n+1}=a_n^2\) है तो \(a_2\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n^2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

\(a_2=4^2=16\) है। वर्ग वाले नियम में पिछले पद का वर्ग लें। / \(a_2=4^2=16\). Exam tip: square the previous term in square rules.

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Question 128/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=3\) और \(a_{n+1}=a_n^2+1\) है तो \(a_2\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=a_n^2+1\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

\(a_2=3^2+1=10\) है। पहले वर्ग करें फिर (1) जोड़ें। / \(a_2=3^2+1=10\). Exam tip: square first and then add (1).

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Question 129/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=90\) और \(a_{n+1}=a_n-30\) है तो \(a_3\) क्या होगा?

If \(a_1=90\) and \(a_{n+1}=a_n-30\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

पद (90,60,30) हैं इसलिए \(a_3=30\) है। बड़े घटाव में भी चरण न छोड़ें। / The terms are (90,60,30), so \(a_3=30\). Exam tip: do not skip steps even with large subtraction.

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Question 130/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=16\) और \(a_{n+1}=a_n+9\) है तो \(a_4\) क्या होगा?

If \(a_1=16\) and \(a_{n+1}=a_n+9\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (43)

Explanation

Simple Explanation

पद (16,25,34,43) हैं इसलिए \(a_4=43\) है। हर बार (9) जोड़ें। / The terms are (16,25,34,43), so \(a_4=43\). Exam tip: add (9) each time.

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Question 131/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\) और \(a_{n+1}=6a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=6a_n\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

D. (72)

Explanation

Simple Explanation

पद (2,12,72) हैं इसलिए \(a_3=72\) है। पिछले पद को (6) से गुणा करें। / The terms are (2,12,72), so \(a_3=72\). Exam tip: multiply the previous term by (6).

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Question 132/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=5\) और \(a_{n+1}=3a_n+2\) है तो \(a_2\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=3a_n+2\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

B. (17)

Explanation

Simple Explanation

\(a_2=3\times5+2=17\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ। / \(a_2=3\times5+2=17\). Exam tip: apply the rule directly to \(a_1\) for the next term.

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Question 133/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=50\) और \(a_{n+1}=\frac{a_n}{2}+3\) है तो \(a_2\) क्या होगा?

If \(a_1=50\) and \(a_{n+1}=\frac{a_n}{2}+3\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (28)

Explanation

Simple Explanation

\(a_2=\frac{50}{2}+3=28\) है। पहले आधा करें फिर (3) जोड़ें। / \(a_2=\frac{50}{2}+3=28\). Exam tip: halve first and then add (3).

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Question 134/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=1\) और \(a_{n+1}=a_n+5n\) है तो \(a_4\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n+5n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (31)

Explanation

Simple Explanation

पद (1,6,16,31) हैं इसलिए \(a_4=31\) है। (5n) का मान हर चरण में बदलता है। / The terms are (1,6,16,31), so \(a_4=31\). Exam tip: (5n) changes at every step.

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Question 135/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=40\) और (a_{n+1}=a_n-(n+3)) है तो \(a_3\) क्या होगा?

If \(a_1=40\) and (a_{n+1}=a_n-(n+3)), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (31)

Explanation

Simple Explanation

पद (40,36,31) हैं इसलिए \(a_3=31\) है। प्रत्येक चरण में (n+3) सही निकालें। / The terms are (40,36,31), so \(a_3=31\). Exam tip: calculate (n+3) correctly at each step.

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Question 136/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=6\), \(a_2=10\) और \(a_n=a_{n-1}+4\) है तो \(a_5\) क्या होगा?

If \(a_1=6\), \(a_2=10\), and \(a_n=a_{n-1}+4\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (22)

Explanation

Simple Explanation

पद (6,10,14,18,22) हैं इसलिए \(a_5=22\) है। \(a_n\) पिछले पद से (4) अधिक है। / The terms are (6,10,14,18,22), so \(a_5=22\). Exam tip: \(a_n\) is (4) more than the previous term.

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Question 137/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=1\), \(a_2=4\) और \(a_n=2a_{n-1}\) है तो \(a_5\) क्या होगा?

If \(a_1=1\), \(a_2=4\), and \(a_n=2a_{n-1}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (32)

Explanation

Simple Explanation

पद (1,4,8,16,32) हैं इसलिए \(a_5=32\) है। दूसरे पद के बाद पिछले पद को (2) से गुणा करें। / The terms are (1,4,8,16,32), so \(a_5=32\). Exam tip: after the second term multiply the previous term by (2).

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Question 138/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

D. (62)

Explanation

Simple Explanation

पद (2,9,11,20,31,51) नहीं बल्कि \(a_6=51\) है। सही उत्तर (51) होता है। / The terms are (2,9,11,20,31,51), so \(a_6=51\). The correct value is (51).

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Question 139/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (31)

Explanation

Simple Explanation

पद (2,9,11,20,31) हैं इसलिए \(a_5=31\) है। पिछले दो पदों को जोड़ते समय क्रमांक लिखें। / The terms are (2,9,11,20,31), so \(a_5=31\). Exam tip: write positions while adding previous two terms.

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Question 140/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(11,16,21,26,\ldots\) में पुनरावर्ती नियम के अनुसार अगला पद क्या है?

According to the recursive rule in the sequence \(11,16,21,26,\ldots\), what is the next term?

Explanation opens after your attempt
Correct Answer

C. (31)

Explanation

Simple Explanation

हर बार (5) जोड़ा गया है इसलिए अगला पद (26+5=31) है। अंतर देखकर अगला पद निकालें। / (5) is added each time, so the next term is (26+5=31). Exam tip: use the difference to find the next term.

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Question 141/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(80,40,20,10,\ldots\) में पुनरावर्ती नियम के अनुसार अगला पद क्या होगा?

According to the recursive rule in the sequence \(80,40,20,10,\ldots\), what will be the next term?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

हर बार पद आधा हो रहा है इसलिए अगला पद (5) है। पिछले पद को (2) से भाग दें। / Each term is being halved, so the next term is (5). Exam tip: divide the previous term by (2).

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Question 142/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(9,18,27,36,\ldots\) के लिए \(a_1=9\) है। पुनरावर्ती नियम में क्या जोड़ा जाएगा?

For the sequence \(9,18,27,36,\ldots\), \(a_1=9\). What is added in the recursive rule?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

हर अगला पद पिछले से (9) अधिक है। इसलिए नियम \(a_{n+1}=a_n+9\) होगा। / Each next term is (9) more than the previous term. So the rule is \(a_{n+1}=a_n+9\).

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Question 143/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(55,44,33,22,\ldots\) के लिए पुनरावर्ती नियम में क्या घटाया जाएगा?

For the sequence \(55,44,33,22,\ldots\), what is subtracted in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

हर अगला पद पिछले से (11) कम है। इसलिए \(a_{n+1}=a_n-11\) होगा। / Each next term is (11) less than the previous term. So \(a_{n+1}=a_n-11\).

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Question 144/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(4,24,144,864,\ldots\) में पुनरावर्ती नियम का गुणक क्या है?

In the sequence \(4,24,144,864,\ldots\), what is the multiplier in the recursive rule?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

हर अगला पद पिछले पद का (6) गुना है। इसलिए गुणक (6) है। / Each next term is (6) times the previous term. Therefore the multiplier is (6).

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Question 145/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=18\) और \(a_{n+1}=a_n+8\) है तो \(a_3\) क्या होगा?

If \(a_1=18\) and \(a_{n+1}=a_n+8\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (34)

Explanation

Simple Explanation

पद (18,26,34) हैं इसलिए \(a_3=34\) है। दो बार (8) जोड़ना है। / The terms are (18,26,34), so \(a_3=34\). Exam tip: add (8) twice.

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Question 146/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=7\) और \(a_{n+1}=a_n+12\) है तो \(a_4\) का मान क्या होगा?

If \(a_1=7\) and \(a_{n+1}=a_n+12\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (43)

Explanation

Simple Explanation

पद (7,19,31,43) हैं इसलिए \(a_4=43\) है। समान जोड़ को हर चरण में दोहराएँ। / The terms are (7,19,31,43), so \(a_4=43\). Exam tip: repeat the constant addition at every step.

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Question 147/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=128\) और \(a_{n+1}=\frac{a_n}{4}\) है तो \(a_3\) क्या होगा?

If \(a_1=128\) and \(a_{n+1}=\frac{a_n}{4}\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

पद (128,32,8) हैं इसलिए \(a_3=8\) है। हर बार पिछले पद को (4) से भाग दें। / The terms are (128,32,8), so \(a_3=8\). Exam tip: divide the previous term by (4) each time.

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Question 148/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\), \(a_2=6\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=2\), \(a_2=6\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

C. (36)

Explanation

Simple Explanation

पद (2,6,8,14,22,36) हैं इसलिए \(a_6=36\) है। पिछले दो पदों को सही क्रम में जोड़ें। / The terms are (2,6,8,14,22,36), so \(a_6=36\). Exam tip: add the previous two terms in the correct order.

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Question 149/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=10\) और \(a_{n+1}=a_n+n+2\) है तो \(a_4\) क्या होगा?

If \(a_1=10\) and \(a_{n+1}=a_n+n+2\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (21)

Explanation

Simple Explanation

पद (10,13,17,22) नहीं बल्कि \(a_4=22\) है। दिए गए विकल्पों में सही मान नहीं है। / The terms are (10,13,17,22), so \(a_4=22\). None of the listed options is correct.

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Question 150/150 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=10\) और \(a_{n+1}=a_n+n+2\) है तो \(a_3\) क्या होगा?

If \(a_1=10\) and \(a_{n+1}=a_n+n+2\), what is \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

पद (10,13,17) हैं इसलिए \(a_3=17\) है। (n+2) हर चरण में बदलता है। / The terms are (10,13,17), so \(a_3=17\). Exam tip: (n+2) changes at each step.

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