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Class 9 Mathematics Medium Quiz

Mathematics Medium Class 9 Level 41

Level 41 • 50/50 questions • 35 seconds per question.

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Question 1/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(3,7,11,15,\ldots\) का (10)वाँ पद क्या होगा?

What will be the (10)th term of the sequence \(3,7,11,15,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (39)

Explanation

Simple Explanation

यहाँ पहला पद (3) और समान अंतर (4) है। (10)वाँ पद \(3+9\times4=39\) है। / Here the first term is (3) and the common difference is (4). The (10)th term is \(3+9\times4=39\).

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Question 2/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(42,37,32,27,\ldots\) का (8)वाँ पद क्या है?

What is the (8)th term of \(42,37,32,27,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

हर बार (5) घट रहा है। (8)वाँ पद \(42-7\times5=7\) है। / Each term decreases by (5). The (8)th term is \(42-7\times5=7\).

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Question 3/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि \(a_n=3n+4\) है, तो \(a_7\) का मान क्या होगा?

If \(a_n=3n+4\), what will be the value of \(a_7\)?

Explanation opens after your attempt
Correct Answer

C. (25)

Explanation

Simple Explanation

(n=7) रखने पर (a_7=3(7)+4=25) मिलता है। नियम में (n) का सही मान रखें। / Putting (n=7), (a_7=3(7)+4=25). Substitute the correct value of (n) in the rule.

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Question 4/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि \(a_n=2n^2-1\) है, तो \(a_5\) क्या होगा?

If \(a_n=2n^2-1\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (49)

Explanation

Simple Explanation

(n=5) रखने पर (2\(5^2\)-1=49) है। पहले वर्ग निकालें, फिर गुणा और घटाव करें। / Putting (n=5), (2\(5^2\)-1=49). Square first, then multiply and subtract.

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Question 5/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(5,9,13,\Box,21\) में खाली स्थान का मान क्या है?

What is the missing value in \(5,9,13,\Box,21\)?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

हर बार (4) जोड़ा जा रहा है। (13+4=17), इसलिए खाली स्थान (17) है। / Each term increases by (4). Since (13+4=17), the missing value is (17).

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Question 6/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(80,\Box,68,62,56\) में खाली स्थान कौन सा है?

Which value fills the blank in \(80,\Box,68,62,56\)?

Explanation opens after your attempt
Correct Answer

B. (74)

Explanation

Simple Explanation

क्रम में हर बार (6) घट रहा है। (80-6=74), इसलिए खाली स्थान (74) है। / The sequence decreases by (6) each time. (80-6=74), so the blank is (74).

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Question 7/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,6,12,20,30,\ldots\) का अगला पद क्या है?

What is the next term of \(2,6,12,20,30,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (42)

Explanation

Simple Explanation

अंतर (4,6,8,10) हैं, अगला अंतर (12) होगा। इसलिए अगला पद (30+12=42) है। / The differences are (4,6,8,10), so the next difference is (12). Hence the next term is (30+12=42).

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Question 8/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(100,98,94,88,80,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(100,98,94,88,80,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (70)

Explanation

Simple Explanation

घटाव (2,4,6,8) है, अगला घटाव (10) होगा। (80-10=70) अगला पद है। / The subtractions are (2,4,6,8), so the next subtraction is (10). (80-10=70) is the next term.

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Question 9/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(3,6,12,24,48,\ldots\) का (7)वाँ पद क्या है?

What is the (7)th term of \(3,6,12,24,48,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (192)

Explanation

Simple Explanation

हर पद पिछले पद का (2) गुना है। (6)वाँ पद (96) और (7)वाँ पद (192) होगा। / Each term is twice the previous term. The (6)th term is (96) and the (7)th term is (192).

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Question 10/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(243,81,27,9,\ldots\) का अगला पद क्या है?

What is the next term of \(243,81,27,9,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

हर पद पिछले पद को (3) से भाग देकर मिलता है। \(9\div3=3\) अगला पद है। / Each term is obtained by dividing the previous term by (3). \(9\div3=3\) is the next term.

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Question 11/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(1,4,9,16,25,\ldots\) में (9)वाँ पद क्या होगा?

What will be the (9)th term in \(1,4,9,16,25,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (81)

Explanation

Simple Explanation

यह वर्ग संख्याओं का क्रम है। (9)वाँ पद \(9^2=81\) होगा। / This is a sequence of square numbers. The (9)th term is \(9^2=81\).

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Question 12/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(1,8,27,64,\ldots\) का (6)ठा पद क्या है?

What is the (6)th term of \(1,8,27,64,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (216)

Explanation

Simple Explanation

यह घन संख्याओं का क्रम है। (6)ठा पद \(6^3=216\) है। / This is a sequence of cube numbers. The (6)th term is \(6^3=216\).

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Question 13/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(1,3,6,10,15,\ldots\) का (7)वाँ पद क्या है?

What is the (7)th term of \(1,3,6,10,15,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (28)

Explanation

Simple Explanation

यह त्रिभुज संख्याओं का क्रम है। (7)वाँ पद (1+2+3+4+5+6+7=28) है। / This is a triangular-number sequence. The (7)th term is (1+2+3+4+5+6+7=28).

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Question 14/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,3,5,8,13,\ldots\) का अगला पद क्या है?

What is the next term of \(2,3,5,8,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (21)

Explanation

Simple Explanation

हर पद पिछले दो पदों का योग है। (8+13=21), इसलिए अगला पद (21) है। / Each term is the sum of the previous two terms. (8+13=21), so the next term is (21).

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Question 15/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(4,7,11,18,29,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(4,7,11,18,29,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (47)

Explanation

Simple Explanation

यहाँ (11=4+7), (18=7+11) और (29=11+18) है। अगला पद (18+29=47) होगा। / Here (11=4+7), (18=7+11), and (29=11+18). The next term is (18+29=47).

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Question 16/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(6,12,24,48,\ldots\) में (192) कौन सा पद है?

In \(6,12,24,48,\ldots\), which term is (192)?

Explanation opens after your attempt
Correct Answer

C. (6)ठा(6)th

Explanation

Simple Explanation

क्रम (6,12,24,48,96,192) है। इसलिए (192) (6)ठा पद है। / The sequence is (6,12,24,48,96,192). So (192) is the (6)th term.

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Question 17/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(9,14,19,24,\ldots\) में (49) कौन सा पद होगा?

In \(9,14,19,24,\ldots\), which term will (49) be?

Explanation opens after your attempt
Correct Answer

B. (9)वाँ(9)th

Explanation

Simple Explanation

पहला पद (9) और अंतर (5) है। (9+(n-1)5=49) से (n=9) मिलता है। / The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).

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Question 18/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(75,69,63,57,\ldots\) में (39) कौन सा पद है?

In \(75,69,63,57,\ldots\), which term is (39)?

Explanation opens after your attempt
Correct Answer

B. (7)वाँ(7)th

Explanation

Simple Explanation

हर बार (6) घट रहा है। (75-(n-1)6=39) से (n=7) है। / Each term decreases by (6). From (75-(n-1)6=39), (n=7).

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Question 19/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि किसी क्रम के पहले चार पद (2,7,12,17) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?

If the first four terms of a sequence are (2,7,12,17), what can be a simple rule for \(a_n\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=5n-3\)

Explanation

Simple Explanation

(n=1) रखने पर (5(1)-3=2) और अंतर (5) मिलता है। इसलिए \(a_n=5n-3\) सही है। / For (n=1), (5(1)-3=2), and the difference is (5). So \(a_n=5n-3\) is correct.

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Question 20/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(4,11,18,25,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?

Which \(a_n\) rule is correct for \(4,11,18,25,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=7n-3\)

Explanation

Simple Explanation

पहला पद (4) और अंतर (7) है। \(a_n=7n-3\) से \(4,11,18,\ldots\) मिलते हैं। / The first term is (4) and the difference is (7). \(a_n=7n-3\) gives \(4,11,18,\ldots\).

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Question 21/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

नियम \(a_n=2n+3\) से बनने वाले पहले चार पद कौन से हैं?

What are the first four terms formed by \(a_n=2n+3\)?

Explanation opens after your attempt
Correct Answer

B. (5,7,9,11)

Explanation

Simple Explanation

(n=1,2,3,4) रखने पर (5,7,9,11) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (5,7,9,11). Start with (n=1) for the first four terms.

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Question 22/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

नियम \(a_n=n^2+2n\) से \(a_4\) क्या होगा?

What will \(a_4\) be for the rule \(a_n=n^2+2n\)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

(n=4) रखने पर (a_4=42+2(4)=24) है। घात और गुणा दोनों ध्यान से करें। / Putting (n=4), (a_4=42+2(4)=24). Handle the power and multiplication carefully.

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Question 23/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

नियम \(a_n=50-4n\) से बनने वाला तीसरा पद क्या है?

What is the third term formed by \(a_n=50-4n\)?

Explanation opens after your attempt
Correct Answer

C. (38)

Explanation

Simple Explanation

(n=3) रखने पर \(a_3=50-12=38\) है। घटाव वाले नियम में चिन्ह ध्यान से देखें। / Putting (n=3), \(a_3=50-12=38\). In subtraction rules, check the sign carefully.

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Question 24/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

कौन सा क्रम \(a_n=3n^2\) से बनता है?

Which sequence is formed by \(a_n=3n^2\)?

Explanation opens after your attempt
Correct Answer

B. (3,12,27,48)

Explanation

Simple Explanation

(n=1,2,3,4) रखने पर (3,12,27,48) मिलते हैं। \(n^2\) को (3) से गुणा करें। / Putting (n=1,2,3,4) gives (3,12,27,48). Multiply \(n^2\) by (3).

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Question 25/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

कौन सा क्रम \(a_n=2^n+1\) से बने पहले चार पद दिखाता है?

Which sequence shows the first four terms of \(a_n=2^n+1\)?

Explanation opens after your attempt
Correct Answer

B. (3,5,9,17)

Explanation

Simple Explanation

\(2^1+1=3\), \(2^2+1=5\), \(2^3+1=9\), \(2^4+1=17\)। घात के बाद (1) जोड़ें। / \(2^1+1=3\), \(2^2+1=5\), \(2^3+1=9\), and \(2^4+1=17\). Add (1) after evaluating the power.

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Question 26/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,5,8,11,\ldots\) और \(1,4,7,10,\ldots\) के (6)ठे पदों का अंतर क्या है?

What is the difference between the (6)th terms of \(2,5,8,11,\ldots\) and \(1,4,7,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

पहले क्रम का (6)ठा पद (17) और दूसरे का (16) है। उनका अंतर (1) है। / The (6)th term of the first sequence is (17) and that of the second is (16). Their difference is (1).

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Question 27/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(10,15,20,\ldots\) का (8)वाँ पद और \(4,9,14,\ldots\) का (8)वाँ पद किस प्रकार संबंधित हैं?

How are the (8)th term of \(10,15,20,\ldots\) and the (8)th term of \(4,9,14,\ldots\) related?

Explanation opens after your attempt
Correct Answer

A. पहला (6) अधिक हैThe first is greater by (6)

Explanation

Simple Explanation

दोनों क्रमों का अंतर (5) है, इसलिए पदों का अंतर हमेशा (6) रहेगा। (8)वें पदों में भी यही अंतर है। / Both sequences have difference (5), so the term difference always remains (6). The (8)th terms also differ by (6).

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Question 28/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(3,8,13,\ldots\) के पहले (5) पदों का योग क्या है?

What is the sum of the first (5) terms of \(3,8,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (65)

Explanation

Simple Explanation

पहले (5) पद (3,8,13,18,23) हैं। इनका योग (65) है। / The first (5) terms are (3,8,13,18,23). Their sum is (65).

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Question 29/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(40,36,32,\ldots\) के पहले (4) पदों का योग क्या है?

What is the sum of the first (4) terms of \(40,36,32,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (136)

Explanation

Simple Explanation

पहले (4) पद (40,36,32,28) हैं। इनका योग (136) है। / The first (4) terms are (40,36,32,28). Their sum is (136).

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Question 30/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

कौन सा क्रम समान अंतर वाला नहीं है?

Which sequence does not have a common difference?

Explanation opens after your attempt
Correct Answer

C. (4,9,16,25)

Explanation

Simple Explanation

(4,9,16,25) के अंतर (5,7,9) हैं, जो समान नहीं हैं। समान अंतर जाँचने के लिए लगातार पद घटाएँ। / The differences in (4,9,16,25) are (5,7,9), which are not equal. Subtract consecutive terms to check common difference.

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Question 31/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

कौन सा क्रम गुणन नियम से बनता है, जोड़ नियम से नहीं?

Which sequence is formed by a multiplication rule, not an addition rule?

Explanation opens after your attempt
Correct Answer

B. (4,8,16,32)

Explanation

Simple Explanation

(4,8,16,32) में हर पद पिछले पद का (2) गुना है। यह जोड़ नहीं, गुणन का नियम है। / In (4,8,16,32), each term is twice the previous term. This is a multiplication rule, not an addition rule.

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Question 32/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(1,4,7,10,\ldots\) में कौन सा पद (22) है?

Which term is (22) in \(1,4,7,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (8)वाँ(8)th

Explanation

Simple Explanation

पहला पद (1) और अंतर (3) है। (1+(n-1)3=22) से (n=8) मिलता है। / The first term is (1) and the difference is (3). From (1+(n-1)3=22), (n=8).

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Question 33/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(5,8,11,14,\ldots\) में \(a_6+a_7\) का मान क्या है?

What is the value of \(a_6+a_7\) in \(5,8,11,14,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (47)

Explanation

Simple Explanation

\(a_6=20\) और \(a_7=23\) हैं। इसलिए \(a_6+a_7=43\), अतः विकल्प (A) सही है। / \(a_6=20\) and \(a_7=23\). Therefore \(a_6+a_7=43\), so option (A) is correct.

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Question 34/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(12,18,24,30,\ldots\) में \(a_5-a_2\) क्या है?

What is \(a_5-a_2\) in \(12,18,24,30,\ldots\)?

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Correct Answer

B. (18)

Explanation

Simple Explanation

\(a_5=36\) और \(a_2=18\) है। इसलिए \(a_5-a_2=18\) है। / \(a_5=36\) and \(a_2=18\). Therefore \(a_5-a_2=18\).

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Question 35/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(9,13,17,21,\ldots\) में \(a_4\) और \(a_1\) का अंतर क्या है?

What is the difference between \(a_4\) and \(a_1\) in \(9,13,17,21,\ldots\)?

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Correct Answer

C. (12)

Explanation

Simple Explanation

\(a_4=21\) और \(a_1=9\) है। उनका अंतर (21-9=12) है। / \(a_4=21\) and \(a_1=9\). Their difference is (21-9=12).

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Question 36/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि \(a_1=6\) और हर अगले पद में (4) जोड़ा जाता है, तो \(a_6\) क्या होगा?

If \(a_1=6\) and (4) is added to each next term, what is \(a_6\)?

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Correct Answer

C. (26)

Explanation

Simple Explanation

\(a_6=6+5\times4=26\) है। छठे पद तक पहुँचने के लिए (5) बार अंतर जोड़ा जाता है। / \(a_6=6+5\times4=26\). To reach the sixth term, the difference is added (5) times.

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Question 37/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि \(a_1=50\) और हर अगले पद में (7) घटाया जाता है, तो \(a_5\) क्या होगा?

If \(a_1=50\) and (7) is subtracted for each next term, what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (22)

Explanation

Simple Explanation

\(a_5=50-4\times7=22\) है। पाँचवें पद तक (4) बार घटाव होगा। / \(a_5=50-4\times7=22\). There are (4) subtractions before the fifth term.

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Question 38/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,5,11,23,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (2) गुना और (1) जोड़ना है?

What is the next term in \(2,5,11,23,\ldots\) if the rule is double the previous term and add (1)?

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Correct Answer

C. (47)

Explanation

Simple Explanation

नियम के अनुसार \(23\times2+1=47\) है। ऐसे क्रम में अंतिम पद पर नियम लगाएँ। / By the rule, \(23\times2+1=47\). In such sequences, apply the rule to the last term.

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Question 39/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(100,49,24,11,\ldots\) में अगला पद क्या है यदि नियम पिछले पद से (2) भाग देकर (1) घटाना है?

What is the next term in \(100,49,24,11,\ldots\) if the rule is divide the previous term by (2) and subtract (1)?

Explanation opens after your attempt
Correct Answer

B. (4.5)

Explanation

Simple Explanation

\(11\div2-1=4.5\) है। नियम में पहले भाग दें और फिर (1) घटाएँ। / \(11\div2-1=4.5\). In the rule, divide first and then subtract (1).

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Question 40/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(4,6,10,16,24,\ldots\) में अगला पद क्या है?

What is the next term in \(4,6,10,16,24,\ldots\)?

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Correct Answer

B. (34)

Explanation

Simple Explanation

अंतर (2,4,6,8) हैं, इसलिए अगला अंतर (10) होगा। (24+10=34) है। / The differences are (2,4,6,8), so the next difference is (10). (24+10=34).

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Question 41/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(90,87,81,72,60,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(90,87,81,72,60,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (45)

Explanation

Simple Explanation

घटाव (3,6,9,12) है, अगला घटाव (15) होगा। (60-15=45) है। / The subtractions are (3,6,9,12), so the next subtraction is (15). (60-15=45).

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Question 42/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(1,2,6,24,\ldots\) का अगला पद क्या है?

What is the next term of \(1,2,6,24,\ldots\)?

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Correct Answer

C. (120)

Explanation

Simple Explanation

यहाँ क्रमशः (2,3,4) से गुणा किया गया है। अगला गुणक (5) होगा, इसलिए \(24\times5=120\)। / The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(24\times5=120\).

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Question 43/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,6,18,54,\ldots\) और \(5,15,45,135,\ldots\) के (4)थे पदों का अनुपात क्या है?

What is the ratio of the (4)th terms of \(2,6,18,54,\ldots\) and \(5,15,45,135,\ldots\)?

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Correct Answer

A. (2:5)

Explanation

Simple Explanation

चौथे पद (54) और (135) हैं। उनका अनुपात (54:135=2:5) है। / The fourth terms are (54) and (135). Their ratio is (54:135=2:5).

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Question 44/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(6,10,14,18,\ldots\) में पहले कितने पदों का योग (70) है?

How many first terms of \(6,10,14,18,\ldots\) have sum (70)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

पहले (5) पद (6,10,14,18,22) हैं। उनका योग (70) है। / The first (5) terms are (6,10,14,18,22). Their sum is (70).

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Question 45/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(4,9,14,\ldots\) में कौन सा पद (34) से ठीक पहले आता है?

In \(4,9,14,\ldots\), which term comes just before (34)?

Explanation opens after your attempt
Correct Answer

C. (29)

Explanation

Simple Explanation

क्रम (4,9,14,19,24,29,34) है। (34) से ठीक पहले (29) आता है। / The sequence is (4,9,14,19,24,29,34). The term just before (34) is (29).

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Question 46/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(96,48,24,12,\ldots\) में (3) से ठीक पहले कौन सा पद आता है?

In \(96,48,24,12,\ldots\), which term comes just before (3)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

हर बार आधा हो रहा है। क्रम (96,48,24,12,6,3) है, इसलिए (3) से पहले (6) है। / Each term is halved. The sequence is (96,48,24,12,6,3), so (6) comes before (3).

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Question 47/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(7,10,13,\ldots\) के (n)वें पद के लिए सही कथन कौन सा है?

Which statement is correct for the (n)th term of \(7,10,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. यह (3n+4) हैIt is (3n+4)

Explanation

Simple Explanation

(n=1) पर (3(1)+4=7) और अंतर (3) मिलता है। इसलिए सही नियम (3n+4) है। / At (n=1), (3(1)+4=7), and the difference is (3). So the correct rule is (3n+4).

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Question 48/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(50,45,40,\ldots\) के (n)वें पद का सही नियम कौन सा है?

Which is the correct rule for the (n)th term of \(50,45,40,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=55-5n\)

Explanation

Simple Explanation

(n=1) रखने पर (55-5=50) मिलता है। यह हर बार (5) घटाने वाला नियम है। / Putting (n=1) gives (55-5=50). This rule decreases by (5) each time.

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Question 49/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि \(a_1=3\), \(a_2=8\) और हर अगला पद पिछले दो पदों का योग है, तो \(a_5\) क्या होगा?

If \(a_1=3\), \(a_2=8\), and each next term is the sum of the previous two terms, what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (30)

Explanation

Simple Explanation

क्रम (3,8,11,19,30) बनेगा। इसलिए \(a_5=30\) है। / The sequence becomes (3,8,11,19,30). Therefore \(a_5=30\).

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Question 50/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

यदि क्रम \(2,6,18,54,\ldots\) में \(a_n=162\) है, तो (n) क्या है?

If \(a_n=162\) in the sequence \(2,6,18,54,\ldots\), what is (n)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

क्रम (2,6,18,54,162) है। (162) पाँचवाँ पद है, इसलिए (n=5)। / The sequence is (2,6,18,54,162). (162) is the fifth term, so (n=5).

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