How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 35 seconds per question for Medium difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.

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

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)

Step 1

Concept

Here the first term is (3) and the common difference is (4). The (10)th term is \(3+9\times4=39\).

Step 2

Why this answer is correct

The correct answer is C. (39). Here the first term is (3) and the common difference is (4). The (10)th term is \(3+9\times4=39\).

Step 3

Exam Tip

यहाँ पहला पद (3) और समान अंतर (4) है। (10)वाँ पद \(3+9\times4=39\) है।

Open Question Page

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)

Step 1

Concept

Each term decreases by (5). The (8)th term is \(42-7\times5=7\).

Step 2

Why this answer is correct

The correct answer is A. (7). Each term decreases by (5). The (8)th term is \(42-7\times5=7\).

Step 3

Exam Tip

हर बार (5) घट रहा है। (8)वाँ पद \(42-7\times5=7\) है।

Open Question Page

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)

Step 1

Concept

Putting (n=7), (a_7=3(7)+4=25). Substitute the correct value of (n) in the rule.

Step 2

Why this answer is correct

The correct answer is C. (25). Putting (n=7), (a_7=3(7)+4=25). Substitute the correct value of (n) in the rule.

Step 3

Exam Tip

(n=7) रखने पर (a_7=3(7)+4=25) मिलता है। नियम में (n) का सही मान रखें।

Open Question Page

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)

Step 1

Concept

Putting (n=5), (2\(5^2\)-1=49). Square first, then multiply and subtract.

Step 2

Why this answer is correct

The correct answer is C. (49). Putting (n=5), (2\(5^2\)-1=49). Square first, then multiply and subtract.

Step 3

Exam Tip

(n=5) रखने पर (2\(5^2\)-1=49) है। पहले वर्ग निकालें, फिर गुणा और घटाव करें।

Open Question Page

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)

Step 1

Concept

Each term increases by (4). Since (13+4=17), the missing value is (17).

Step 2

Why this answer is correct

The correct answer is C. (17). Each term increases by (4). Since (13+4=17), the missing value is (17).

Step 3

Exam Tip

हर बार (4) जोड़ा जा रहा है। (13+4=17), इसलिए खाली स्थान (17) है।

Open Question Page

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)

Step 1

Concept

The sequence decreases by (6) each time. (80-6=74), so the blank is (74).

Step 2

Why this answer is correct

The correct answer is B. (74). The sequence decreases by (6) each time. (80-6=74), so the blank is (74).

Step 3

Exam Tip

क्रम में हर बार (6) घट रहा है। (80-6=74), इसलिए खाली स्थान (74) है।

Open Question Page

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)

Step 1

Concept

The differences are (4,6,8,10), so the next difference is (12). Hence the next term is (30+12=42).

Step 2

Why this answer is correct

The correct answer is B. (42). The differences are (4,6,8,10), so the next difference is (12). Hence the next term is (30+12=42).

Step 3

Exam Tip

अंतर (4,6,8,10) हैं, अगला अंतर (12) होगा। इसलिए अगला पद (30+12=42) है।

Open Question Page

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)

Step 1

Concept

The subtractions are (2,4,6,8), so the next subtraction is (10). (80-10=70) is the next term.

Step 2

Why this answer is correct

The correct answer is B. (70). The subtractions are (2,4,6,8), so the next subtraction is (10). (80-10=70) is the next term.

Step 3

Exam Tip

घटाव (2,4,6,8) है, अगला घटाव (10) होगा। (80-10=70) अगला पद है।

Open Question Page

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)

Step 1

Concept

Each term is twice the previous term. The (6)th term is (96) and the (7)th term is (192).

Step 2

Why this answer is correct

The correct answer is C. (192). Each term is twice the previous term. The (6)th term is (96) and the (7)th term is (192).

Step 3

Exam Tip

हर पद पिछले पद का (2) गुना है। (6)वाँ पद (96) और (7)वाँ पद (192) होगा।

Open Question Page

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)

Step 1

Concept

Each term is obtained by dividing the previous term by (3). \(9\div3=3\) is the next term.

Step 2

Why this answer is correct

The correct answer is C. (3). Each term is obtained by dividing the previous term by (3). \(9\div3=3\) is the next term.

Step 3

Exam Tip

हर पद पिछले पद को (3) से भाग देकर मिलता है। \(9\div3=3\) अगला पद है।

Open Question Page

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)

Step 1

Concept

This is a sequence of square numbers. The (9)th term is \(9^2=81\).

Step 2

Why this answer is correct

The correct answer is C. (81). This is a sequence of square numbers. The (9)th term is \(9^2=81\).

Step 3

Exam Tip

यह वर्ग संख्याओं का क्रम है। (9)वाँ पद \(9^2=81\) होगा।

Open Question Page

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)

Step 1

Concept

This is a sequence of cube numbers. The (6)th term is \(6^3=216\).

Step 2

Why this answer is correct

The correct answer is B. (216). This is a sequence of cube numbers. The (6)th term is \(6^3=216\).

Step 3

Exam Tip

यह घन संख्याओं का क्रम है। (6)ठा पद \(6^3=216\) है।

Open Question Page

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)

Step 1

Concept

This is a triangular-number sequence. The (7)th term is (1+2+3+4+5+6+7=28).

Step 2

Why this answer is correct

The correct answer is C. (28). This is a triangular-number sequence. The (7)th term is (1+2+3+4+5+6+7=28).

Step 3

Exam Tip

यह त्रिभुज संख्याओं का क्रम है। (7)वाँ पद (1+2+3+4+5+6+7=28) है।

Open Question Page

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)

Step 1

Concept

Each term is the sum of the previous two terms. (8+13=21), so the next term is (21).

Step 2

Why this answer is correct

The correct answer is C. (21). Each term is the sum of the previous two terms. (8+13=21), so the next term is (21).

Step 3

Exam Tip

हर पद पिछले दो पदों का योग है। (8+13=21), इसलिए अगला पद (21) है।

Open Question Page

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)

Step 1

Concept

Here (11=4+7), (18=7+11), and (29=11+18). The next term is (18+29=47).

Step 2

Why this answer is correct

The correct answer is C. (47). Here (11=4+7), (18=7+11), and (29=11+18). The next term is (18+29=47).

Step 3

Exam Tip

यहाँ (11=4+7), (18=7+11) और (29=11+18) है। अगला पद (18+29=47) होगा।

Open Question Page

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

Step 1

Concept

The sequence is (6,12,24,48,96,192). So (192) is the (6)th term.

Step 2

Why this answer is correct

The correct answer is C. (6)ठा / (6)th. The sequence is (6,12,24,48,96,192). So (192) is the (6)th term.

Step 3

Exam Tip

क्रम (6,12,24,48,96,192) है। इसलिए (192) (6)ठा पद है।

Open Question Page

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

Step 1

Concept

The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).

Step 2

Why this answer is correct

The correct answer is B. (9)वाँ / (9)th. The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).

Step 3

Exam Tip

पहला पद (9) और अंतर (5) है। (9+(n-1)5=49) से (n=9) मिलता है।

Open Question Page

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

Step 1

Concept

Each term decreases by (6). From (75-(n-1)6=39), (n=7).

Step 2

Why this answer is correct

The correct answer is B. (7)वाँ / (7)th. Each term decreases by (6). From (75-(n-1)6=39), (n=7).

Step 3

Exam Tip

हर बार (6) घट रहा है। (75-(n-1)6=39) से (n=7) है।

Open Question Page

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. \(a_n=5n-3\)

Step 1

Concept

For (n=1), (5(1)-3=2), and the difference is (5). So \(a_n=5n-3\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=5n-3\). For (n=1), (5(1)-3=2), and the difference is (5). So \(a_n=5n-3\) is correct.

Step 3

Exam Tip

(n=1) रखने पर (5(1)-3=2) और अंतर (5) मिलता है। इसलिए \(a_n=5n-3\) सही है।

Open Question Page

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. \(a_n=7n-3\)

Step 1

Concept

The first term is (4) and the difference is (7). \(a_n=7n-3\) gives \(4,11,18,\ldots\).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=7n-3\). The first term is (4) and the difference is (7). \(a_n=7n-3\) gives \(4,11,18,\ldots\).

Step 3

Exam Tip

पहला पद (4) और अंतर (7) है। \(a_n=7n-3\) से \(4,11,18,\ldots\) मिलते हैं।

Open Question Page

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)

Step 1

Concept

Putting (n=1,2,3,4) gives (5,7,9,11). Start with (n=1) for the first four terms.

Step 2

Why this answer is correct

The correct answer is B. (5,7,9,11). Putting (n=1,2,3,4) gives (5,7,9,11). Start with (n=1) for the first four terms.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (5,7,9,11) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें।

Open Question Page

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)

Step 1

Concept

Putting (n=4), (a_4=4²+2(4)=24). Handle the power and multiplication carefully.

Step 2

Why this answer is correct

The correct answer is C. (24). Putting (n=4), (a_4=4²+2(4)=24). Handle the power and multiplication carefully.

Step 3

Exam Tip

(n=4) रखने पर (a_4=4²+2(4)=24) है। घात और गुणा दोनों ध्यान से करें।

Open Question Page

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)

Step 1

Concept

Putting (n=3), \(a_3=50-12=38\). In subtraction rules, check the sign carefully.

Step 2

Why this answer is correct

The correct answer is C. (38). Putting (n=3), \(a_3=50-12=38\). In subtraction rules, check the sign carefully.

Step 3

Exam Tip

(n=3) रखने पर \(a_3=50-12=38\) है। घटाव वाले नियम में चिन्ह ध्यान से देखें।

Open Question Page

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)

Step 1

Concept

Putting (n=1,2,3,4) gives (3,12,27,48). Multiply \(n^2\) by (3).

Step 2

Why this answer is correct

The correct answer is B. (3,12,27,48). Putting (n=1,2,3,4) gives (3,12,27,48). Multiply \(n^2\) by (3).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (3,12,27,48) मिलते हैं। \(n^2\) को (3) से गुणा करें।

Open Question Page

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)

Step 1

Concept

\(2^1+1=3\), \(2^2+1=5\), \(2^3+1=9\), and \(2^4+1=17\). Add (1) after evaluating the power.

Step 2

Why this answer is correct

The correct answer is B. (3,5,9,17). \(2^1+1=3\), \(2^2+1=5\), \(2^3+1=9\), and \(2^4+1=17\). Add (1) after evaluating the power.

Step 3

Exam Tip

\(2^1+1=3\), \(2^2+1=5\), \(2^3+1=9\), \(2^4+1=17\)। घात के बाद (1) जोड़ें।

Open Question Page

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)

Step 1

Concept

The (6)th term of the first sequence is (17) and that of the second is (16). Their difference is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). The (6)th term of the first sequence is (17) and that of the second is (16). Their difference is (1).

Step 3

Exam Tip

पहले क्रम का (6)ठा पद (17) और दूसरे का (16) है। उनका अंतर (1) है।

Open Question Page

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)

Step 1

Concept

Both sequences have difference (5), so the term difference always remains (6). The (8)th terms also differ by (6).

Step 2

Why this answer is correct

The correct answer is A. पहला (6) अधिक है / The first is greater by (6). Both sequences have difference (5), so the term difference always remains (6). The (8)th terms also differ by (6).

Step 3

Exam Tip

दोनों क्रमों का अंतर (5) है, इसलिए पदों का अंतर हमेशा (6) रहेगा। (8)वें पदों में भी यही अंतर है।

Open Question Page

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)

Step 1

Concept

The first (5) terms are (3,8,13,18,23). Their sum is (65).

Step 2

Why this answer is correct

The correct answer is C. (65). The first (5) terms are (3,8,13,18,23). Their sum is (65).

Step 3

Exam Tip

पहले (5) पद (3,8,13,18,23) हैं। इनका योग (65) है।

Open Question Page

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)

Step 1

Concept

The first (4) terms are (40,36,32,28). Their sum is (136).

Step 2

Why this answer is correct

The correct answer is B. (136). The first (4) terms are (40,36,32,28). Their sum is (136).

Step 3

Exam Tip

पहले (4) पद (40,36,32,28) हैं। इनका योग (136) है।

Open Question Page

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)

Step 1

Concept

The differences in (4,9,16,25) are (5,7,9), which are not equal. Subtract consecutive terms to check common difference.

Step 2

Why this answer is correct

The correct answer is C. (4,9,16,25). The differences in (4,9,16,25) are (5,7,9), which are not equal. Subtract consecutive terms to check common difference.

Step 3

Exam Tip

(4,9,16,25) के अंतर (5,7,9) हैं, जो समान नहीं हैं। समान अंतर जाँचने के लिए लगातार पद घटाएँ।

Open Question Page

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)

Step 1

Concept

In (4,8,16,32), each term is twice the previous term. This is a multiplication rule, not an addition rule.

Step 2

Why this answer is correct

The correct answer is B. (4,8,16,32). In (4,8,16,32), each term is twice the previous term. This is a multiplication rule, not an addition rule.

Step 3

Exam Tip

(4,8,16,32) में हर पद पिछले पद का (2) गुना है। यह जोड़ नहीं, गुणन का नियम है।

Open Question Page

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

Step 1

Concept

The first term is (1) and the difference is (3). From (1+(n-1)3=22), (n=8).

Step 2

Why this answer is correct

The correct answer is B. (8)वाँ / (8)th. The first term is (1) and the difference is (3). From (1+(n-1)3=22), (n=8).

Step 3

Exam Tip

पहला पद (1) और अंतर (3) है। (1+(n-1)3=22) से (n=8) मिलता है।

Open Question Page

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)

Step 1

Concept

\(a_6=20\) and \(a_7=23\). Therefore \(a_6+a_7=43\), so option (A) is correct.

Step 2

Why this answer is correct

The correct answer is C. (47). \(a_6=20\) and \(a_7=23\). Therefore \(a_6+a_7=43\), so option (A) is correct.

Step 3

Exam Tip

\(a_6=20\) और \(a_7=23\) हैं। इसलिए \(a_6+a_7=43\), अतः विकल्प (A) सही है।

Open Question Page

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 \(12,18,24,30,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (18)

Step 1

Concept

\(a_5=36\) and \(a_2=18\). Therefore \(a_5-a_2=18\).

Step 2

Why this answer is correct

The correct answer is B. (18). \(a_5=36\) and \(a_2=18\). Therefore \(a_5-a_2=18\).

Step 3

Exam Tip

\(a_5=36\) और \(a_2=18\) है। इसलिए \(a_5-a_2=18\) है।

Open Question Page

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 \(9,13,17,21,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

\(a_4=21\) and \(a_1=9\). Their difference is (21-9=12).

Step 2

Why this answer is correct

The correct answer is C. (12). \(a_4=21\) and \(a_1=9\). Their difference is (21-9=12).

Step 3

Exam Tip

\(a_4=21\) और \(a_1=9\) है। उनका अंतर (21-9=12) है।

Open Question Page

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 \(a_6\)?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

\(a_6=6+5\times4=26\). To reach the sixth term, the difference is added (5) times.

Step 2

Why this answer is correct

The correct answer is C. (26). \(a_6=6+5\times4=26\). To reach the sixth term, the difference is added (5) times.

Step 3

Exam Tip

\(a_6=6+5\times4=26\) है। छठे पद तक पहुँचने के लिए (5) बार अंतर जोड़ा जाता है।

Open Question Page

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)

Step 1

Concept

\(a_5=50-4\times7=22\). There are (4) subtractions before the fifth term.

Step 2

Why this answer is correct

The correct answer is B. (22). \(a_5=50-4\times7=22\). There are (4) subtractions before the fifth term.

Step 3

Exam Tip

\(a_5=50-4\times7=22\) है। पाँचवें पद तक (4) बार घटाव होगा।

Open Question Page

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)?

Explanation opens after your attempt

Correct Answer

C. (47)

Step 1

Concept

By the rule, \(23\times2+1=47\). In such sequences, apply the rule to the last term.

Step 2

Why this answer is correct

The correct answer is C. (47). By the rule, \(23\times2+1=47\). In such sequences, apply the rule to the last term.

Step 3

Exam Tip

नियम के अनुसार \(23\times2+1=47\) है। ऐसे क्रम में अंतिम पद पर नियम लगाएँ।

Open Question Page

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)

Step 1

Concept

\(11\div2-1=4.5\). In the rule, divide first and then subtract (1).

Step 2

Why this answer is correct

The correct answer is B. (4.5). \(11\div2-1=4.5\). In the rule, divide first and then subtract (1).

Step 3

Exam Tip

\(11\div2-1=4.5\) है। नियम में पहले भाग दें और फिर (1) घटाएँ।

Open Question Page

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 \(4,6,10,16,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (34)

Step 1

Concept

The differences are (2,4,6,8), so the next difference is (10). (24+10=34).

Step 2

Why this answer is correct

The correct answer is B. (34). The differences are (2,4,6,8), so the next difference is (10). (24+10=34).

Step 3

Exam Tip

अंतर (2,4,6,8) हैं, इसलिए अगला अंतर (10) होगा। (24+10=34) है।

Open Question Page

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)

Step 1

Concept

The subtractions are (3,6,9,12), so the next subtraction is (15). (60-15=45).

Step 2

Why this answer is correct

The correct answer is B. (45). The subtractions are (3,6,9,12), so the next subtraction is (15). (60-15=45).

Step 3

Exam Tip

घटाव (3,6,9,12) है, अगला घटाव (15) होगा। (60-15=45) है।

Open Question Page

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 \(1,2,6,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (120)

Step 1

Concept

The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(24\times5=120\).

Step 2

Why this answer is correct

The correct answer is C. (120). The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(24\times5=120\).

Step 3

Exam Tip

यहाँ क्रमशः (2,3,4) से गुणा किया गया है। अगला गुणक (5) होगा, इसलिए \(24\times5=120\)।

Open Question Page

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 \(5,15,45,135,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (2:5)

Step 1

Concept

The fourth terms are (54) and (135). Their ratio is (54:135=2:5).

Step 2

Why this answer is correct

The correct answer is A. (2:5). The fourth terms are (54) and (135). Their ratio is (54:135=2:5).

Step 3

Exam Tip

चौथे पद (54) और (135) हैं। उनका अनुपात (54:135=2:5) है।

Open Question Page

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)

Step 1

Concept

The first (5) terms are (6,10,14,18,22). Their sum is (70).

Step 2

Why this answer is correct

The correct answer is B. (5). The first (5) terms are (6,10,14,18,22). Their sum is (70).

Step 3

Exam Tip

पहले (5) पद (6,10,14,18,22) हैं। उनका योग (70) है।

Open Question Page

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)

Step 1

Concept

The sequence is (4,9,14,19,24,29,34). The term just before (34) is (29).

Step 2

Why this answer is correct

The correct answer is C. (29). The sequence is (4,9,14,19,24,29,34). The term just before (34) is (29).

Step 3

Exam Tip

क्रम (4,9,14,19,24,29,34) है। (34) से ठीक पहले (29) आता है।

Open Question Page

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)

Step 1

Concept

Each term is halved. The sequence is (96,48,24,12,6,3), so (6) comes before (3).

Step 2

Why this answer is correct

The correct answer is B. (6). Each term is halved. The sequence is (96,48,24,12,6,3), so (6) comes before (3).

Step 3

Exam Tip

हर बार आधा हो रहा है। क्रम (96,48,24,12,6,3) है, इसलिए (3) से पहले (6) है।

Open Question Page

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)

Step 1

Concept

At (n=1), (3(1)+4=7), and the difference is (3). So the correct rule is (3n+4).

Step 2

Why this answer is correct

The correct answer is A. यह (3n+4) है / It is (3n+4). At (n=1), (3(1)+4=7), and the difference is (3). So the correct rule is (3n+4).

Step 3

Exam Tip

(n=1) पर (3(1)+4=7) और अंतर (3) मिलता है। इसलिए सही नियम (3n+4) है।

Open Question Page

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. \(a_n=55-5n\)

Step 1

Concept

Putting (n=1) gives (55-5=50). This rule decreases by (5) each time.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=55-5n\). Putting (n=1) gives (55-5=50). This rule decreases by (5) each time.

Step 3

Exam Tip

(n=1) रखने पर (55-5=50) मिलता है। यह हर बार (5) घटाने वाला नियम है।

Open Question Page

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)

Step 1

Concept

The sequence becomes (3,8,11,19,30). Therefore \(a_5=30\).

Step 2

Why this answer is correct

The correct answer is C. (30). The sequence becomes (3,8,11,19,30). Therefore \(a_5=30\).

Step 3

Exam Tip

क्रम (3,8,11,19,30) बनेगा। इसलिए \(a_5=30\) है।

Open Question Page

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)

Step 1

Concept

The sequence is (2,6,18,54,162). (162) is the fifth term, so (n=5).

Step 2

Why this answer is correct

The correct answer is B. (5). The sequence is (2,6,18,54,162). (162) is the fifth term, so (n=5).

Step 3

Exam Tip

क्रम (2,6,18,54,162) है। (162) पाँचवाँ पद है, इसलिए (n=5)।

Open Question Page

Class 9 Mathematics - Sequences and Progressions - Sequences Medium Quiz

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct