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Mathematics Quiz - Class 9 Mathematics Sequences and Prog...

Question 1/50 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)

Step 1

Concept

The terms are (4,6,8,10,12), so \(a_5=12\). Exam tip: add (2) at each step.

Step 2

Why this answer is correct

The correct answer is B. (12). The terms are (4,6,8,10,12), so \(a_5=12\). Exam tip: add (2) at each step.

Step 3

Exam Tip

पद (4,6,8,10,12) हैं इसलिए \(a_5=12\) है। हर चरण में (2) जोड़ें।

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Question 2/50 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)

Step 1

Concept

The terms are (18,15,12,9), so \(a_4=9\). Exam tip: keep the sign correct in subtraction rules.

Step 2

Why this answer is correct

The correct answer is D. (9). The terms are (18,15,12,9), so \(a_4=9\). Exam tip: keep the sign correct in subtraction rules.

Step 3

Exam Tip

पद (18,15,12,9) हैं इसलिए \(a_4=9\) है। घटाने वाले नियम में चिह्न सही रखें।

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Question 3/50 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)

Step 1

Concept

The terms are (5,10,20), so \(a_3=20\). Exam tip: multiply the previous term by (2) each time.

Step 2

Why this answer is correct

The correct answer is A. (20). The terms are (5,10,20), so \(a_3=20\). Exam tip: multiply the previous term by (2) each time.

Step 3

Exam Tip

पद (5,10,20) हैं इसलिए \(a_3=20\) है। हर बार पिछले पद को (2) से गुणा करें।

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Question 4/50 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)

Step 1

Concept

The terms are (48,24,12,6,3), so \(a_5=3\). Exam tip: halve the newest term each time.

Step 2

Why this answer is correct

The correct answer is C. (3). The terms are (48,24,12,6,3), so \(a_5=3\). Exam tip: halve the newest term each time.

Step 3

Exam Tip

पद (48,24,12,6,3) हैं इसलिए \(a_5=3\) है। भाग वाले नियम में हर बार नया पद आधा करें।

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Question 5/50 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)

Step 1

Concept

The terms are (2,3,5,8), so \(a_4=8\). Exam tip: the value of (n) changes at each step.

Step 2

Why this answer is correct

The correct answer is C. (8). The terms are (2,3,5,8), so \(a_4=8\). Exam tip: the value of (n) changes at each step.

Step 3

Exam Tip

पद (2,3,5,8) हैं इसलिए \(a_4=8\) है। यहाँ (n) का मान हर चरण में बदलता है।

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Question 6/50 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)

Step 1

Concept

The terms are (15,14,12,9,5), so \(a_5=5\). None of the listed options is correct.

Step 2

Why this answer is correct

The correct answer is A. (7). The terms are (15,14,12,9,5), so \(a_5=5\). None of the listed options is correct.

Step 3

Exam Tip

पद (15,14,12,9,5) नहीं बल्कि \(a_5=5\) होता है। दिए गए विकल्पों में सही मान नहीं है।

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Question 7/50 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)

Step 1

Concept

The terms are (15,14,12,9), so \(a_4=9\). Exam tip: subtract (n) in the order (1,2,3).

Step 2

Why this answer is correct

The correct answer is C. (9). The terms are (15,14,12,9), so \(a_4=9\). Exam tip: subtract (n) in the order (1,2,3).

Step 3

Exam Tip

पद (15,14,12,9) हैं इसलिए \(a_4=9\) है। (n) को (1,2,3) के क्रम में घटाएँ।

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Question 8/50 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)

Step 1

Concept

The terms are (3,5,9,15,23), so \(a_5=23\). Exam tip: find (2n) first and then add.

Step 2

Why this answer is correct

The correct answer is D. (23). The terms are (3,5,9,15,23), so \(a_5=23\). Exam tip: find (2n) first and then add.

Step 3

Exam Tip

पद (3,5,9,15,23) हैं इसलिए \(a_5=23\) है। पहले (2n) निकालें फिर जोड़ें।

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Question 9/50 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)

Step 1

Concept

The terms are (6,7,10,15,22), so \(a_5=22\). Exam tip: (2n-1) adds (1,3,5,7).

Step 2

Why this answer is correct

The correct answer is C. (22). The terms are (6,7,10,15,22), so \(a_5=22\). Exam tip: (2n-1) adds (1,3,5,7).

Step 3

Exam Tip

पद (6,7,10,15,22) हैं इसलिए \(a_5=22\) है। (2n-1) से (1,3,5,7) जुड़ते हैं।

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Question 10/50 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)

Step 1

Concept

The terms are (4,12,36), so \(a_3=36\). Exam tip: multiply the previous term by (3).

Step 2

Why this answer is correct

The correct answer is B. (36). The terms are (4,12,36), so \(a_3=36\). Exam tip: multiply the previous term by (3).

Step 3

Exam Tip

पद (4,12,36) हैं इसलिए \(a_3=36\) है। पिछले पद को (3) से गुणा करें।

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Question 11/50 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)

Step 1

Concept

The terms are (2,5,11,23), so \(a_4=23\). Exam tip: double first and then add (1).

Step 2

Why this answer is correct

The correct answer is D. (23). The terms are (2,5,11,23), so \(a_4=23\). Exam tip: double first and then add (1).

Step 3

Exam Tip

पद (2,5,11,23) हैं इसलिए \(a_4=23\) है। पहले दोगुना करें फिर (1) जोड़ें।

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Question 12/50 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)

Step 1

Concept

The terms are (6,10,18), so \(a_3=18\). Exam tip: subtract after multiplication.

Step 2

Why this answer is correct

The correct answer is C. (18). The terms are (6,10,18), so \(a_3=18\). Exam tip: subtract after multiplication.

Step 3

Exam Tip

पद (6,10,18) हैं इसलिए \(a_3=18\) है। नियम में घटाव गुणा के बाद करें।

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Question 13/50 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)

Step 1

Concept

The terms are (1,7,13,19,25,31), so \(a_6=31\). Exam tip: count positions carefully in constant addition.

Step 2

Why this answer is correct

The correct answer is D. (31). The terms are (1,7,13,19,25,31), so \(a_6=31\). Exam tip: count positions carefully in constant addition.

Step 3

Exam Tip

पद (1,7,13,19,25,31) हैं इसलिए \(a_6=31\) है। समान जोड़ में क्रमांक सावधानी से गिनें।

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Question 14/50 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)

Step 1

Concept

The terms are (45,40,35,30,25,20), so \(a_6=20\). Exam tip: subtract (5) at each step.

Step 2

Why this answer is correct

The correct answer is B. (20). The terms are (45,40,35,30,25,20), so \(a_6=20\). Exam tip: subtract (5) at each step.

Step 3

Exam Tip

पद (45,40,35,30,25,20) हैं इसलिए \(a_6=20\) है। हर बार (5) घटाएँ।

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Question 15/50 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)

Step 1

Concept

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.

Step 2

Why this answer is correct

The correct answer is C. (18). 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.

Step 3

Exam Tip

पद (1,3,4,7,11,18) हैं इसलिए \(a_6=18\) है। पिछले दो पदों को जोड़कर अगला पद बनता है।

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Question 16/50 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)

Step 1

Concept

The terms are (2,6,8,14,22), so \(a_5=22\). Exam tip: add the previous two terms in the correct order.

Step 2

Why this answer is correct

The correct answer is D. (22). The terms are (2,6,8,14,22), so \(a_5=22\). Exam tip: add the previous two terms in the correct order.

Step 3

Exam Tip

पद (2,6,8,14,22) हैं इसलिए \(a_5=22\) है। दो पिछले पदों को सही क्रम में जोड़ें।

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Question 17/50 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)

Step 1

Concept

The terms are (27,9,3,1), so \(a_4=1\). Exam tip: divide by (3) at every step.

Step 2

Why this answer is correct

The correct answer is A. (1). The terms are (27,9,3,1), so \(a_4=1\). Exam tip: divide by (3) at every step.

Step 3

Exam Tip

पद (27,9,3,1) हैं इसलिए \(a_4=1\) है। हर चरण में (3) से भाग दें।

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Question 18/50 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

Step 1

Concept

The terms are (8,11,14,17,20), so (20) is the fifth term. Exam tip: write terms with their positions.

Step 2

Why this answer is correct

The correct answer is C. (5)वाँ / (5)th. The terms are (8,11,14,17,20), so (20) is the fifth term. Exam tip: write terms with their positions.

Step 3

Exam Tip

पद (8,11,14,17,20) हैं इसलिए (20) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें।

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Question 19/50 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

Step 1

Concept

The terms are (6,12,18,24,30), so (30) is the fifth term. Exam tip: count step by step in constant growth.

Step 2

Why this answer is correct

The correct answer is B. (5)वाँ / (5)th. The terms are (6,12,18,24,30), so (30) is the fifth term. Exam tip: count step by step in constant growth.

Step 3

Exam Tip

पद (6,12,18,24,30) हैं इसलिए (30) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें।

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Question 20/50 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. \(a_1=7, a_{n+1}=a_n+4\)

Step 1

Concept

The first term is (7), and (4) is added each time. Exam tip: both the first term and addition must be correct.

Step 2

Why this answer is correct

The correct answer is A. \(a_1=7, a_{n+1}=a_n+4\). The first term is (7), and (4) is added each time. Exam tip: both the first term and addition must be correct.

Step 3

Exam Tip

पहला पद (7) है और हर बार (4) जुड़ता है। नियम में पहला पद और जोड़ दोनों सही होने चाहिए।

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Question 21/50 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. \(a_1=25, a_{n+1}=a_n-5\)

Step 1

Concept

The first term is (25), and (5) is subtracted each time. Exam tip: watch the (-) sign in decreasing sequences.

Step 2

Why this answer is correct

The correct answer is C. \(a_1=25, a_{n+1}=a_n-5\). The first term is (25), and (5) is subtracted each time. Exam tip: watch the (-) sign in decreasing sequences.

Step 3

Exam Tip

पहला पद (25) है और हर बार (5) घटता है। घटते अनुक्रम में (-) चिह्न देखें।

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Question 22/50 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. \(a_1=4, a_{n+1}=3a_n\)

Step 1

Concept

The first term is (4), and each term is (3) times the previous one. Exam tip: check the ratio to identify multiplication rules.

Step 2

Why this answer is correct

The correct answer is C. \(a_1=4, a_{n+1}=3a_n\). The first term is (4), and each term is (3) times the previous one. Exam tip: check the ratio to identify multiplication rules.

Step 3

Exam Tip

पहला पद (4) है और हर पद पिछले का (3) गुना है। गुणा नियम पहचानने के लिए अनुपात देखें।

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Question 23/50 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. \(a_1=100, a_{n+1}=\frac{a_n}{2}\)

Step 1

Concept

The first term is (100), and each term is halved. Exam tip: check both the first term and the operation.

Step 2

Why this answer is correct

The correct answer is C. \(a_1=100, a_{n+1}=\frac{a_n}{2}\). The first term is (100), and each term is halved. Exam tip: check both the first term and the operation.

Step 3

Exam Tip

पहला पद (100) है और हर बार आधा किया गया है। पहला पद और क्रिया दोनों सही देखें।

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Question 24/50 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)

Step 1

Concept

The terms are (12,13,14,15,16), so \(a_5=16\). Exam tip: count positions carefully even in small additions.

Step 2

Why this answer is correct

The correct answer is C. (16). The terms are (12,13,14,15,16), so \(a_5=16\). Exam tip: count positions carefully even in small additions.

Step 3

Exam Tip

पद (12,13,14,15,16) हैं इसलिए \(a_5=16\) है। छोटे जोड़ में भी क्रमांक सावधानी से गिनें।

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Question 25/50 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)

Step 1

Concept

The terms are (80,60,40,20), so \(a_4=20\). Exam tip: subtract (20) each time.

Step 2

Why this answer is correct

The correct answer is B. (20). The terms are (80,60,40,20), so \(a_4=20\). Exam tip: subtract (20) each time.

Step 3

Exam Tip

पद (80,60,40,20) हैं इसलिए \(a_4=20\) है। हर बार (20) घटाएँ।

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Question 26/50 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)

Step 1

Concept

The terms are (7,10,13,16,19), so \(a_5-a_2=19-10=9\). Exam tip: find both terms first.

Step 2

Why this answer is correct

The correct answer is B. (9). The terms are (7,10,13,16,19), so \(a_5-a_2=19-10=9\). Exam tip: find both terms first.

Step 3

Exam Tip

पद (7,10,13,16,19) हैं इसलिए \(a_5-a_2=19-10=9\) है। पहले दोनों पद निकालें।

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Question 27/50 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)

Step 1

Concept

The terms are (5,9,13,17), and \(a_3+a_4=30\). None of the options is correct.

Step 2

Why this answer is correct

The correct answer is C. (26). The terms are (5,9,13,17), and \(a_3+a_4=30\). None of the options is correct.

Step 3

Exam Tip

पद (5,9,13,17) हैं और \(a_3+a_4=13+17=30\) नहीं है इसलिए विकल्प सही नहीं हैं।

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Question 28/50 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)

Step 1

Concept

The terms are (5,9,13,17), and \(a_2+a_4=9+17=26\). Exam tip: find the needed terms before adding.

Step 2

Why this answer is correct

The correct answer is C. (26). The terms are (5,9,13,17), and \(a_2+a_4=9+17=26\). Exam tip: find the needed terms before adding.

Step 3

Exam Tip

पद (5,9,13,17) हैं और \(a_2+a_4=9+17=26\) है। योग से पहले जरूरी पद निकालें।

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Question 29/50 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)

Step 1

Concept

\(a_2=3^2=9\). Exam tip: square the previous term in square rules.

Step 2

Why this answer is correct

The correct answer is B. (9). \(a_2=3^2=9\). Exam tip: square the previous term in square rules.

Step 3

Exam Tip

\(a_2=3^2=9\) है। वर्ग वाले नियम में पिछले पद का वर्ग लें।

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Question 30/50 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)

Step 1

Concept

\(a_2=2^2+2=6\). Exam tip: square first and then add (2).

Step 2

Why this answer is correct

The correct answer is C. (6). \(a_2=2^2+2=6\). Exam tip: square first and then add (2).

Step 3

Exam Tip

\(a_2=2^2+2=6\) है। पहले वर्ग करें फिर (2) जोड़ें।

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Question 31/50 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)

Step 1

Concept

The terms are (120,95,70), so \(a_3=70\). Exam tip: do not skip steps even with large subtraction.

Step 2

Why this answer is correct

The correct answer is B. (70). The terms are (120,95,70), so \(a_3=70\). Exam tip: do not skip steps even with large subtraction.

Step 3

Exam Tip

पद (120,95,70) हैं इसलिए \(a_3=70\) है। बड़े घटाव में भी चरण न छोड़ें।

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Question 32/50 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)

Step 1

Concept

The terms are (13,21,29,37), so \(a_4=37\). Exam tip: add (8) each time.

Step 2

Why this answer is correct

The correct answer is C. (37). The terms are (13,21,29,37), so \(a_4=37\). Exam tip: add (8) each time.

Step 3

Exam Tip

पद (13,21,29,37) हैं इसलिए \(a_4=37\) है। हर बार (8) जोड़ें।

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Question 33/50 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)

Step 1

Concept

The terms are (3,15,75), so \(a_3=75\). Exam tip: multiply the previous term by (5).

Step 2

Why this answer is correct

The correct answer is D. (75). The terms are (3,15,75), so \(a_3=75\). Exam tip: multiply the previous term by (5).

Step 3

Exam Tip

पद (3,15,75) हैं इसलिए \(a_3=75\) है। पिछले पद को (5) से गुणा करें।

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Question 34/50 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)

Step 1

Concept

\(a_2=3\times4+1=13\). Exam tip: apply the rule directly to \(a_1\) for the next term.

Step 2

Why this answer is correct

The correct answer is B. (13). \(a_2=3\times4+1=13\). Exam tip: apply the rule directly to \(a_1\) for the next term.

Step 3

Exam Tip

\(a_2=3\times4+1=13\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ।

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Question 35/50 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)

Step 1

Concept

\(a_2=\frac{36}{2}+2=20\). Exam tip: halve first and then add (2).

Step 2

Why this answer is correct

The correct answer is B. (20). \(a_2=\frac{36}{2}+2=20\). Exam tip: halve first and then add (2).

Step 3

Exam Tip

\(a_2=\frac{36}{2}+2=20\) है। पहले आधा करें फिर (2) जोड़ें।

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Question 36/50 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)

Step 1

Concept

The terms are (2,6,14,26), so \(a_4=26\). Exam tip: (4n) changes at every step.

Step 2

Why this answer is correct

The correct answer is D. (26). The terms are (2,6,14,26), so \(a_4=26\). Exam tip: (4n) changes at every step.

Step 3

Exam Tip

पद (2,6,14,26) हैं इसलिए \(a_4=26\) है। (4n) का मान हर चरण में बदलता है।

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Question 37/50 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)

Step 1

Concept

The terms are (30,27,23), so \(a_3=23\). Exam tip: calculate (n+2) correctly at each step.

Step 2

Why this answer is correct

The correct answer is B. (23). The terms are (30,27,23), so \(a_3=23\). Exam tip: calculate (n+2) correctly at each step.

Step 3

Exam Tip

पद (30,27,23) हैं इसलिए \(a_3=23\) है। प्रत्येक चरण में (n+2) सही निकालें।

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Question 38/50 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)

Step 1

Concept

The terms are (5,8,11,14,17), so \(a_5=17\). Exam tip: \(a_n\) is (3) more than the previous term.

Step 2

Why this answer is correct

The correct answer is B. (17). The terms are (5,8,11,14,17), so \(a_5=17\). Exam tip: \(a_n\) is (3) more than the previous term.

Step 3

Exam Tip

पद (5,8,11,14,17) हैं इसलिए \(a_5=17\) है। \(a_n\) पिछले पद से (3) अधिक है।

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Question 39/50 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)

Step 1

Concept

\(a_3=12\) and \(a_4=36\). Exam tip: multiply the previous term by (3) each time.

Step 2

Why this answer is correct

The correct answer is C. (36). \(a_3=12\) and \(a_4=36\). Exam tip: multiply the previous term by (3) each time.

Step 3

Exam Tip

\(a_3=12\) और \(a_4=36\) है। पिछले पद को हर बार (3) से गुणा करें।

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Question 40/50 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)

Step 1

Concept

The terms are (5,7,12,19,31,50), so \(a_6=50\). None of the listed options is correct.

Step 2

Why this answer is correct

The correct answer is B. (36). The terms are (5,7,12,19,31,50), so \(a_6=50\). None of the listed options is correct.

Step 3

Exam Tip

पद (5,7,12,19,31,50) नहीं बल्कि \(a_6=50\) है। दिए गए विकल्पों में सही मान नहीं है।

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Question 41/50 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)

Step 1

Concept

The terms are (5,7,12,19,31), so \(a_5=31\). Exam tip: add the previous two terms to get the new term.

Step 2

Why this answer is correct

The correct answer is C. (31). The terms are (5,7,12,19,31), so \(a_5=31\). Exam tip: add the previous two terms to get the new term.

Step 3

Exam Tip

पद (5,7,12,19,31) हैं इसलिए \(a_5=31\) है। पिछले दो पदों को जोड़कर नया पद बनता है।

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Question 42/50 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)

Step 1

Concept

(4) is added each time, so the next term is (21+4=25). Exam tip: use the difference to find the next term.

Step 2

Why this answer is correct

The correct answer is C. (25). (4) is added each time, so the next term is (21+4=25). Exam tip: use the difference to find the next term.

Step 3

Exam Tip

हर बार (4) जोड़ा गया है इसलिए अगला पद (21+4=25) है। अंतर देखकर अगला पद निकालें।

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Question 43/50 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)

Step 1

Concept

Each term is being halved, so the next term is (4). Exam tip: divide the previous term by (2).

Step 2

Why this answer is correct

The correct answer is C. (4). Each term is being halved, so the next term is (4). Exam tip: divide the previous term by (2).

Step 3

Exam Tip

हर बार पद आधा हो रहा है इसलिए अगला पद (4) है। पिछले पद को (2) से भाग दें।

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Question 44/50 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)

Step 1

Concept

Each next term is (8) more than the previous term. So the rule is \(a_{n+1}=a_n+8\).

Step 2

Why this answer is correct

The correct answer is C. (8). Each next term is (8) more than the previous term. So the rule is \(a_{n+1}=a_n+8\).

Step 3

Exam Tip

हर अगला पद पिछले से (8) अधिक है। इसलिए नियम \(a_{n+1}=a_n+8\) होगा।

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Question 45/50 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)

Step 1

Concept

Each next term is (6) less than the previous term. So \(a_{n+1}=a_n-6\).

Step 2

Why this answer is correct

The correct answer is C. (6). Each next term is (6) less than the previous term. So \(a_{n+1}=a_n-6\).

Step 3

Exam Tip

हर अगला पद पिछले से (6) कम है। इसलिए \(a_{n+1}=a_n-6\) होगा।

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Question 46/50 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)

Step 1

Concept

Each next term is (4) times the previous term. Therefore the multiplier is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). Each next term is (4) times the previous term. Therefore the multiplier is (4).

Step 3

Exam Tip

हर अगला पद पिछले पद का (4) गुना है। इसलिए गुणक (4) है।

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Question 47/50 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)

Step 1

Concept

The terms are (14,21,28,35), so \(a_4=35\). Exam tip: add (7) three times.

Step 2

Why this answer is correct

The correct answer is B. (35). The terms are (14,21,28,35), so \(a_4=35\). Exam tip: add (7) three times.

Step 3

Exam Tip

पद (14,21,28,35) हैं इसलिए \(a_4=35\) है। तीन बार (7) जोड़ना है।

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Question 48/50 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)

Step 1

Concept

The terms are (6,16,26), so \(a_3=26\). Exam tip: repeat the constant addition at every step.

Step 2

Why this answer is correct

The correct answer is C. (26). The terms are (6,16,26), so \(a_3=26\). Exam tip: repeat the constant addition at every step.

Step 3

Exam Tip

पद (6,16,26) हैं इसलिए \(a_3=26\) है। समान जोड़ को हर चरण में दोहराएँ।

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Question 49/50 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)

Step 1

Concept

The terms are (96,24,6), so \(a_3=6\). Exam tip: divide the previous term by (4) each time.

Step 2

Why this answer is correct

The correct answer is B. (6). The terms are (96,24,6), so \(a_3=6\). Exam tip: divide the previous term by (4) each time.

Step 3

Exam Tip

पद (96,24,6) हैं इसलिए \(a_3=6\) है। हर बार पिछले पद को (4) से भाग दें।

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Question 50/50 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)

Step 1

Concept

The terms are (1,5,6,11,17), so \(a_5=17\). Exam tip: add the previous two terms in the correct order.

Step 2

Why this answer is correct

The correct answer is C. (17). The terms are (1,5,6,11,17), so \(a_5=17\). Exam tip: add the previous two terms in the correct order.

Step 3

Exam Tip

पद (1,5,6,11,17) हैं इसलिए \(a_5=17\) है। पिछले दो पदों को सही क्रम में जोड़ें।

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

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

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Exam Tip

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

Concept

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Exam Tip

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

Concept

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Exam Tip

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

Concept

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Exam Tip

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

Concept

Why this answer is correct