Class 9 Mathematics - Sequences and Progressions - Sequences Easy Quiz

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क्रम \(3,6,9,12,\ldots\) का अगला पद क्या है?

What is the next term of the sequence \(3,6,9,12,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (15)

Step 1

Concept

Each term increases by (3). Find the next term by checking the difference.

Step 2

Why this answer is correct

The correct answer is A. (15). Each term increases by (3). Find the next term by checking the difference.

Step 3

Exam Tip

हर बार (3) जोड़ा जा रहा है। अंतर देखकर अगला पद निकालें।

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क्रम \(25,22,19,16,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(25,22,19,16,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (13)

Step 1

Concept

Each term decreases by (3). So the next term is (13).

Step 2

Why this answer is correct

The correct answer is B. (13). Each term decreases by (3). So the next term is (13).

Step 3

Exam Tip

हर बार (3) घट रहा है। इसलिए अगला पद (13) है।

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क्रम \(2,4,8,16,\ldots\) का अगला पद क्या है?

What is the next term of \(2,4,8,16,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (32)

Step 1

Concept

Each term is (2) times the previous term. Therefore the next term is (32).

Step 2

Why this answer is correct

The correct answer is C. (32). Each term is (2) times the previous term. Therefore the next term is (32).

Step 3

Exam Tip

हर पद पिछले पद का (2) गुना है। इसलिए अगला पद (32) है।

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

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

Explanation opens after your attempt
Correct Answer

D. (25)

Step 1

Concept

These are square numbers \(1^2,2^2,3^2,4^2\). The next term is \(5^2=25\).

Step 2

Why this answer is correct

The correct answer is D. (25). These are square numbers \(1^2,2^2,3^2,4^2\). The next term is \(5^2=25\).

Step 3

Exam Tip

ये वर्ग संख्याएँ \(1^2,2^2,3^2,4^2\) हैं। अगला पद \(5^2=25\) होगा।

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

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

Explanation opens after your attempt
Correct Answer

A. (30)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is A. (30). The differences are (4,6,8), so the next difference is (10). Hence the next term is (30).

Step 3

Exam Tip

अंतर (4,6,8) है और अगला अंतर (10) होगा। इसलिए अगला पद (30) है।

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क्रम \(5,10,20,40,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(5,10,20,40,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (80)

Step 1

Concept

Each term is doubled. Twice (40) is (80).

Step 2

Why this answer is correct

The correct answer is B. (80). Each term is doubled. Twice (40) is (80).

Step 3

Exam Tip

हर बार पद (2) गुना हो रहा है। (40) का (2) गुना (80) है।

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क्रम \(64,32,16,8,\ldots\) का अगला पद क्या है?

What is the next term of \(64,32,16,8,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Each term is half of the previous term. Half of (8) is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). Each term is half of the previous term. Half of (8) is (4).

Step 3

Exam Tip

हर पद पिछले पद का आधा है। (8) का आधा (4) है।

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क्रम \(10,13,16,\Box,22\) में खाली स्थान का मान क्या है?

What is the missing value in \(10,13,16,\Box,22\)?

Explanation opens after your attempt
Correct Answer

D. (19)

Step 1

Concept

Each term increases by (3). After (16), the term is (19).

Step 2

Why this answer is correct

The correct answer is D. (19). Each term increases by (3). After (16), the term is (19).

Step 3

Exam Tip

हर बार (3) बढ़ रहा है। (16) के बाद (19) आएगा।

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क्रम \(7,14,\Box,28,35\) में खाली स्थान पर कौन सा पद आएगा?

Which term will come in the blank in \(7,14,\Box,28,35\)?

Explanation opens after your attempt
Correct Answer

A. (21)

Step 1

Concept

This is a sequence of multiples of (7). After (14), (21) comes.

Step 2

Why this answer is correct

The correct answer is A. (21). This is a sequence of multiples of (7). After (14), (21) comes.

Step 3

Exam Tip

यह (7) के गुणजों का क्रम है। (14) के बाद (21) आता है।

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क्रम \(40,\Box,30,25,20\) में खाली स्थान का मान क्या है?

What is the missing value in \(40,\Box,30,25,20\)?

Explanation opens after your attempt
Correct Answer

B. (35)

Step 1

Concept

Each term decreases by (5). After (40), the term is (35).

Step 2

Why this answer is correct

The correct answer is B. (35). Each term decreases by (5). After (40), the term is (35).

Step 3

Exam Tip

हर बार (5) घट रहा है। (40) के बाद (35) होगा।

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यदि क्रम का नियम \(a_n=2n\) है, तो \(a_4\) क्या होगा?

If the sequence rule is \(a_n=2n\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

Putting (n=4), (a_4=2(4)=8). Substitute the correct value of (n).

Step 2

Why this answer is correct

The correct answer is C. (8). Putting (n=4), (a_4=2(4)=8). Substitute the correct value of (n).

Step 3

Exam Tip

(n=4) रखने पर (a_4=2(4)=8) मिलता है। नियम में (n) का सही मान रखें।

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यदि \(a_n=n+5\) है, तो \(a_3\) का मान क्या है?

If \(a_n=n+5\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

D. (8)

Step 1

Concept

Putting (n=3), \(a_3=3+5=8\). Read the rule carefully first.

Step 2

Why this answer is correct

The correct answer is D. (8). Putting (n=3), \(a_3=3+5=8\). Read the rule carefully first.

Step 3

Exam Tip

(n=3) रखने पर \(a_3=3+5=8\) है। पहले नियम को ध्यान से पढ़ें।

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यदि \(a_n=3n-1\) है, तो \(a_5\) क्या होगा?

If \(a_n=3n-1\), what will \(a_5\) be?

Explanation opens after your attempt
Correct Answer

A. (14)

Step 1

Concept

Putting (n=5), (3(5)-1=14). Do multiplication first.

Step 2

Why this answer is correct

The correct answer is A. (14). Putting (n=5), (3(5)-1=14). Do multiplication first.

Step 3

Exam Tip

(n=5) रखने पर (3(5)-1=14) मिलता है। गुणा पहले करें।

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यदि \(a_n=4n+2\) है, तो पहला पद \(a_1\) क्या है?

If \(a_n=4n+2\), what is the first term \(a_1\)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

Putting (n=1), (a_1=4(1)+2=6). Use (n=1) for the first term.

Step 2

Why this answer is correct

The correct answer is B. (6). Putting (n=1), (a_1=4(1)+2=6). Use (n=1) for the first term.

Step 3

Exam Tip

(n=1) रखने पर (a_1=4(1)+2=6) है। पहला पद निकालने के लिए (n=1) रखें।

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क्रम \(3,8,13,18,\ldots\) में समान अंतर क्या है?

What is the common difference in \(3,8,13,18,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The difference between consecutive terms is (8-3=5). Subtract nearby terms to find the common difference.

Step 2

Why this answer is correct

The correct answer is C. (5). The difference between consecutive terms is (8-3=5). Subtract nearby terms to find the common difference.

Step 3

Exam Tip

लगातार पदों का अंतर (8-3=5) है। समान अंतर के लिए दो पास-पास के पद घटाएँ।

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क्रम \(50,44,38,32,\ldots\) में समान अंतर क्या है?

What is the common difference in \(50,44,38,32,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

Each term decreases by (6), so the common difference is (-6). A decreasing arithmetic sequence has a negative difference.

Step 2

Why this answer is correct

The correct answer is A. (-6). Each term decreases by (6), so the common difference is (-6). A decreasing arithmetic sequence has a negative difference.

Step 3

Exam Tip

हर बार (6) घट रहा है, इसलिए समान अंतर (-6) है। घटते क्रम में अंतर ऋणात्मक होता है।

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क्रम \(2,5,10,17,\ldots\) में लगातार अंतरों का क्रम क्या है?

What is the sequence of consecutive differences in \(2,5,10,17,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (3,5,7)

Step 1

Concept

The differences are (5-2=3), (10-5=5), and (17-10=7). Find differences first, then observe the pattern.

Step 2

Why this answer is correct

The correct answer is B. (3,5,7). The differences are (5-2=3), (10-5=5), and (17-10=7). Find differences first, then observe the pattern.

Step 3

Exam Tip

अंतर (5-2=3), (10-5=5), (17-10=7) हैं। पहले अंतर निकालें, फिर पैटर्न देखें।

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क्रम \(1,1,2,3,5,\ldots\) का अगला पद क्या है?

What is the next term of \(1,1,2,3,5,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

Each new term is the sum of the previous two terms. (3+5=8) is the next term.

Step 2

Why this answer is correct

The correct answer is C. (8). Each new term is the sum of the previous two terms. (3+5=8) is the next term.

Step 3

Exam Tip

हर नया पद पिछले दो पदों का योग है। (3+5=8) अगला पद है।

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क्रम \(2,3,5,8,13,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(2,3,5,8,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

D. (21)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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क्रम \(1,2,4,7,11,\ldots\) का अगला पद क्या है?

What is the next term of \(1,2,4,7,11,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (16)

Step 1

Concept

The differences are (1,2,3,4), so the next difference is (5). (11+5=16).

Step 2

Why this answer is correct

The correct answer is A. (16). The differences are (1,2,3,4), so the next difference is (5). (11+5=16).

Step 3

Exam Tip

अंतर (1,2,3,4) हैं, इसलिए अगला अंतर (5) होगा। (11+5=16) है।

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क्रम \(20,19,17,14,10,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(20,19,17,14,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

The subtractions are (1,2,3,4), so the next subtraction is (5). (10-5=5).

Step 2

Why this answer is correct

The correct answer is B. (5). The subtractions are (1,2,3,4), so the next subtraction is (5). (10-5=5).

Step 3

Exam Tip

घटाव (1,2,3,4) है और अगला घटाव (5) होगा। (10-5=5) है।

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

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

Explanation opens after your attempt
Correct Answer

C. (125)

Step 1

Concept

These are cube numbers \(1^3,2^3,3^3,4^3\). The next term is \(5^3=125\).

Step 2

Why this answer is correct

The correct answer is C. (125). These are cube numbers \(1^3,2^3,3^3,4^3\). The next term is \(5^3=125\).

Step 3

Exam Tip

ये घन संख्याएँ \(1^3,2^3,3^3,4^3\) हैं। अगला पद \(5^3=125\) है।

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क्रम \(1,3,6,10,\ldots\) में अगला पद क्या है?

What is the next term in \(1,3,6,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

D. (15)

Step 1

Concept

The differences are (2,3,4), and the next difference is (5). (10+5=15).

Step 2

Why this answer is correct

The correct answer is D. (15). The differences are (2,3,4), and the next difference is (5). (10+5=15).

Step 3

Exam Tip

अंतर (2,3,4) हैं और अगला अंतर (5) है। (10+5=15) होगा।

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क्रम \(3,6,12,24,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?

How is each term obtained from the previous term in \(3,6,12,24,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (2) से गुणा करकेBy multiplying by (2)

Step 1

Concept

Each term is (2) times the previous term. Compare nearby terms to identify the rule.

Step 2

Why this answer is correct

The correct answer is A. (2) से गुणा करके / By multiplying by (2). Each term is (2) times the previous term. Compare nearby terms to identify the rule.

Step 3

Exam Tip

हर पद पिछले पद का (2) गुना है। नियम पहचानने के लिए पास-पास के पदों की तुलना करें।

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क्रम \(36,18,9,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?

How is each term obtained from the previous term in \(36,18,9,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (2) से भाग देकरBy dividing by (2)

Step 1

Concept

Each term is half of the previous term. So the rule is division by (2).

Step 2

Why this answer is correct

The correct answer is B. (2) से भाग देकर / By dividing by (2). Each term is half of the previous term. So the rule is division by (2).

Step 3

Exam Tip

हर पद पिछले पद का आधा है। इसलिए नियम (2) से भाग देना है।

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कौन सा क्रम समान अंतर वाला है?

Which sequence has a common difference?

Explanation opens after your attempt
Correct Answer

C. (5,9,13,17)

Step 1

Concept

In (5,9,13,17), (4) is added each time. A sequence with common difference is arithmetic.

Step 2

Why this answer is correct

The correct answer is C. (5,9,13,17). In (5,9,13,17), (4) is added each time. A sequence with common difference is arithmetic.

Step 3

Exam Tip

(5,9,13,17) में हर बार (4) जुड़ता है। समान अंतर वाले क्रम को अंकगणितीय क्रम कहा जाता है।

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कौन सा क्रम हर बार (3) घटाकर बनाया गया है?

Which sequence is formed by subtracting (3) each time?

Explanation opens after your attempt
Correct Answer

A. (18,15,12,9)

Step 1

Concept

In (18,15,12,9), (3) is subtracted each time. Check the difference carefully in decreasing sequences.

Step 2

Why this answer is correct

The correct answer is A. (18,15,12,9). In (18,15,12,9), (3) is subtracted each time. Check the difference carefully in decreasing sequences.

Step 3

Exam Tip

(18,15,12,9) में हर बार (3) घटता है। घटते क्रम में अंतर को ध्यान से देखें।

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कौन सा क्रम वर्ग संख्याओं का है?

Which sequence is a sequence of square numbers?

Explanation opens after your attempt
Correct Answer

D. (1,4,9,16)

Step 1

Concept

(1,4,9,16) are \(1^2,2^2,3^2,4^2\). Square numbers form a common pattern.

Step 2

Why this answer is correct

The correct answer is D. (1,4,9,16). (1,4,9,16) are \(1^2,2^2,3^2,4^2\). Square numbers form a common pattern.

Step 3

Exam Tip

(1,4,9,16) क्रमशः \(1^2,2^2,3^2,4^2\) हैं। वर्ग संख्याएँ पहचानना आसान पैटर्न है।

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कौन सा क्रम विषम संख्याओं का है?

Which sequence is a sequence of odd numbers?

Explanation opens after your attempt
Correct Answer

B. (1,3,5,7)

Step 1

Concept

(1,3,5,7) are all odd numbers. Look at the terms to identify the type of sequence.

Step 2

Why this answer is correct

The correct answer is B. (1,3,5,7). (1,3,5,7) are all odd numbers. Look at the terms to identify the type of sequence.

Step 3

Exam Tip

(1,3,5,7) सभी विषम संख्याएँ हैं। क्रम की प्रकृति पहचानने के लिए पदों को देखें।

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कौन सा क्रम सम संख्याओं का है?

Which sequence is a sequence of even numbers?

Explanation opens after your attempt
Correct Answer

C. (2,4,6,8)

Step 1

Concept

(2,4,6,8) are all even numbers. An even number is divisible by (2).

Step 2

Why this answer is correct

The correct answer is C. (2,4,6,8). (2,4,6,8) are all even numbers. An even number is divisible by (2).

Step 3

Exam Tip

(2,4,6,8) सभी सम संख्याएँ हैं। सम संख्या (2) से विभाज्य होती है।

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क्रम \(a_n=n^2\) के अनुसार \(a_4\) क्या होगा?

According to the sequence \(a_n=n^2\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

Putting (n=4), \(a_4=4^2=16\). In a square rule, square the value of (n).

Step 2

Why this answer is correct

The correct answer is C. (16). Putting (n=4), \(a_4=4^2=16\). In a square rule, square the value of (n).

Step 3

Exam Tip

(n=4) रखने पर \(a_4=4^2=16\) है। वर्ग नियम में (n) का वर्ग लें।

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क्रम \(a_n=5n\) के अनुसार \(a_6\) क्या होगा?

According to \(a_n=5n\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (30)

Step 1

Concept

Putting (n=6), (a_6=5(6)=30). Substitute directly.

Step 2

Why this answer is correct

The correct answer is B. (30). Putting (n=6), (a_6=5(6)=30). Substitute directly.

Step 3

Exam Tip

(n=6) रखने पर (a_6=5(6)=30) है। सीधे प्रतिस्थापन करें।

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यदि \(a_n=10-n\) है, तो \(a_4\) का मान क्या है?

If \(a_n=10-n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

Putting (n=4), \(a_4=10-4=6\). Be careful with subtraction order.

Step 2

Why this answer is correct

The correct answer is C. (6). Putting (n=4), \(a_4=10-4=6\). Be careful with subtraction order.

Step 3

Exam Tip

(n=4) रखने पर \(a_4=10-4=6\) है। घटाव में क्रम का ध्यान रखें।

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यदि \(a_n=2n+1\) है, तो \(a_5\) क्या है?

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

Explanation opens after your attempt
Correct Answer

C. (11)

Step 1

Concept

Putting (n=5), (a_5=2(5)+1=11). Multiply first, then add.

Step 2

Why this answer is correct

The correct answer is C. (11). Putting (n=5), (a_5=2(5)+1=11). Multiply first, then add.

Step 3

Exam Tip

(n=5) रखने पर (a_5=2(5)+1=11) है। पहले गुणा फिर जोड़ करें।

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क्रम \(4,7,10,13,\ldots\) का (7)वाँ पद क्या है?

What is the (7)th term of \(4,7,10,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

D. (22)

Step 1

Concept

Each term increases by (3). Starting from (4), the (7)th term is (22).

Step 2

Why this answer is correct

The correct answer is D. (22). Each term increases by (3). Starting from (4), the (7)th term is (22).

Step 3

Exam Tip

हर बार (3) बढ़ता है। (4) से शुरू करके (7)वाँ पद (22) होगा।

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क्रम \(100,95,90,85,\ldots\) का (6)वाँ पद क्या है?

What is the (6)th term of \(100,95,90,85,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (75)

Step 1

Concept

Each term decreases by (5). The (6)th term is (75).

Step 2

Why this answer is correct

The correct answer is A. (75). Each term decreases by (5). The (6)th term is (75).

Step 3

Exam Tip

हर बार (5) घटता है। (6)वाँ पद (75) है।

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क्रम \(2,6,10,14,\ldots\) में (18) कौन से स्थान पर है?

In the sequence \(2,6,10,14,\ldots\), at which position is (18)?

Explanation opens after your attempt
Correct Answer

C. (5)वाँ(5)th

Step 1

Concept

The sequence is (2,6,10,14,18). So (18) is the fifth term.

Step 2

Why this answer is correct

The correct answer is C. (5)वाँ / (5)th. The sequence is (2,6,10,14,18). So (18) is the fifth term.

Step 3

Exam Tip

क्रम (2,6,10,14,18) है। इसलिए (18) पाँचवाँ पद है।

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क्रम \(50,45,40,35,\ldots\) में (30) कौन सा पद है?

In \(50,45,40,35,\ldots\), which term is (30)?

Explanation opens after your attempt
Correct Answer

C. (5)वाँ(5)th

Step 1

Concept

The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.

Step 2

Why this answer is correct

The correct answer is C. (5)वाँ / (5)th. The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.

Step 3

Exam Tip

क्रम (50,45,40,35,30) है। इसलिए (30) पाँचवाँ पद है।

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क्रम \(6,12,18,24,\ldots\) में (36) कौन सा पद है?

In \(6,12,18,24,\ldots\), which term is (36)?

Explanation opens after your attempt
Correct Answer

C. (6)ठा(6)th

Step 1

Concept

Here \(36=6\times6\). So it is the sixth term.

Step 2

Why this answer is correct

The correct answer is C. (6)ठा / (6)th. Here \(36=6\times6\). So it is the sixth term.

Step 3

Exam Tip

क्रम में \(36=6\times6\) है। इसलिए यह छठा पद है।

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किस क्रम में (12) तीसरा पद है?

In which sequence is (12) the third term?

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Correct Answer

A. (4,8,12,16)

Step 1

Concept

In (4,8,12,16), the third term is (12). Always count terms in order.

Step 2

Why this answer is correct

The correct answer is A. (4,8,12,16). In (4,8,12,16), the third term is (12). Always count terms in order.

Step 3

Exam Tip

(4,8,12,16) में तीसरा पद (12) है। हमेशा पदों को क्रम से गिनें।

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कौन सा क्रम (5) से शुरू होकर हर बार (4) जोड़ता है?

Which sequence starts with (5) and adds (4) each time?

Explanation opens after your attempt
Correct Answer

B. (5,9,13,17)

Step 1

Concept

In (5,9,13,17), (4) is added each time. Check both the first term and the difference.

Step 2

Why this answer is correct

The correct answer is B. (5,9,13,17). In (5,9,13,17), (4) is added each time. Check both the first term and the difference.

Step 3

Exam Tip

(5,9,13,17) में हर बार (4) जुड़ता है। पहले पद और अंतर दोनों जाँचें।

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कौन सा क्रम (30) से शुरू होकर हर बार (6) घटाता है?

Which sequence starts with (30) and subtracts (6) each time?

Explanation opens after your attempt
Correct Answer

A. (30,24,18,12)

Step 1

Concept

In (30,24,18,12), (6) is subtracted each time. In decreasing sequences, the difference is negative.

Step 2

Why this answer is correct

The correct answer is A. (30,24,18,12). In (30,24,18,12), (6) is subtracted each time. In decreasing sequences, the difference is negative.

Step 3

Exam Tip

(30,24,18,12) में हर बार (6) घटता है। घटते क्रम में अंतर ऋणात्मक होता है।

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

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

Explanation opens after your attempt
Correct Answer

C. (3,4,5,6)

Step 1

Concept

Putting (n=1,2,3,4) gives (3,4,5,6). Start with (n=1) for the first four terms.

Step 2

Why this answer is correct

The correct answer is C. (3,4,5,6). Putting (n=1,2,3,4) gives (3,4,5,6). Start with (n=1) for the first four terms.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (3,4,5,6) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें।

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नियम \(a_n=2n-1\) से बनने वाले पहले चार पद कौन से हैं?

What are the first four terms formed by \(a_n=2n-1\)?

Explanation opens after your attempt
Correct Answer

A. (1,3,5,7)

Step 1

Concept

Putting (n=1,2,3,4) gives (1,3,5,7). This is a sequence of odd numbers.

Step 2

Why this answer is correct

The correct answer is A. (1,3,5,7). Putting (n=1,2,3,4) gives (1,3,5,7). This is a sequence of odd numbers.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (1,3,5,7) मिलते हैं। यह विषम संख्याओं का क्रम है।

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

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

Explanation opens after your attempt
Correct Answer

B. (3,6,9,12)

Step 1

Concept

Putting (n=1,2,3,4) gives (3,6,9,12). These are multiples of (3).

Step 2

Why this answer is correct

The correct answer is B. (3,6,9,12). Putting (n=1,2,3,4) gives (3,6,9,12). These are multiples of (3).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (3,6,9,12) मिलते हैं। ये (3) के गुणज हैं।

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

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

Explanation opens after your attempt
Correct Answer

C. (1,4,9,16)

Step 1

Concept

\(1^2,2^2,3^2,4^2\) give (1,4,9,16). Square each (n) in a square rule.

Step 2

Why this answer is correct

The correct answer is C. (1,4,9,16). \(1^2,2^2,3^2,4^2\) give (1,4,9,16). Square each (n) in a square rule.

Step 3

Exam Tip

\(1^2,2^2,3^2,4^2\) से (1,4,9,16) मिलते हैं। वर्ग नियम में हर (n) का वर्ग लें।

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नियम \(a_n=20-2n\) से पहला पद \(a_1\) क्या होगा?

Using \(a_n=20-2n\), what will the first term \(a_1\) be?

Explanation opens after your attempt
Correct Answer

C. (18)

Step 1

Concept

Putting (n=1), \(a_1=20-2=18\). The first term is found by using (n=1).

Step 2

Why this answer is correct

The correct answer is C. (18). Putting (n=1), \(a_1=20-2=18\). The first term is found by using (n=1).

Step 3

Exam Tip

(n=1) रखने पर \(a_1=20-2=18\) है। पहला पद हमेशा (n=1) से मिलता है।

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क्रम \(12,15,18,21,\ldots\) में \(a_2\) क्या है?

In the sequence \(12,15,18,21,\ldots\), what is \(a_2\)?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

\(a_2\) means the second term. In this sequence, the second term is (15).

Step 2

Why this answer is correct

The correct answer is B. (15). \(a_2\) means the second term. In this sequence, the second term is (15).

Step 3

Exam Tip

\(a_2\) का अर्थ दूसरा पद है। इस क्रम में दूसरा पद (15) है।

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क्रम \(9,18,27,36,\ldots\) में \(a_4\) क्या है?

In the sequence \(9,18,27,36,\ldots\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (36)

Step 1

Concept

\(a_4\) represents the fourth term. Here the fourth term is (36).

Step 2

Why this answer is correct

The correct answer is C. (36). \(a_4\) represents the fourth term. Here the fourth term is (36).

Step 3

Exam Tip

\(a_4\) चौथे पद को दर्शाता है। यहाँ चौथा पद (36) है।

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क्रम \(5,15,25,35,\ldots\) में \(a_1\) क्या है?

In the sequence \(5,15,25,35,\ldots\), what is \(a_1\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

\(a_1\) is the first term. In this sequence, the first term is (5).

Step 2

Why this answer is correct

The correct answer is A. (5). \(a_1\) is the first term. In this sequence, the first term is (5).

Step 3

Exam Tip

\(a_1\) पहला पद होता है। इस क्रम में पहला पद (5) है।

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FAQs

Class 9 Mathematics Quiz FAQs

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 40 seconds per question for Easy 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.