Concept-wise Practice

sequence-from-rule MCQ Questions for Class 9

sequence-from-rule se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

19 questions tagged with sequence-from-rule.

यदि \(a_n=8\cdot2^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?

If \(a_n=8\cdot2^{n-1}\), which sequence does it form?

Explanation opens after your attempt
Correct Answer

C. \(8,16,32,64,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives (8,16,32,64). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(8,16,32,64,\ldots\). Putting (n=1,2,3,4) gives (8,16,32,64). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (8,16,32,64) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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यदि \(a_n=6\cdot3^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?

If \(a_n=6\cdot3^{n-1}\), which sequence does it form?

Explanation opens after your attempt
Correct Answer

C. \(6,18,54,162,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives (6,18,54,162). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(6,18,54,162,\ldots\). Putting (n=1,2,3,4) gives (6,18,54,162). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (6,18,54,162) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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यदि \(a_n=4\cdot2^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?

If \(a_n=4\cdot2^{n-1}\), which sequence does it form?

Explanation opens after your attempt
Correct Answer

C. \(4,8,16,32,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives (4,8,16,32). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(4,8,16,32,\ldots\). Putting (n=1,2,3,4) gives (4,8,16,32). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (4,8,16,32) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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किस समांतर श्रेणी का (n)वाँ पद \(a_n=7n+3\) है?

Which arithmetic progression has (n)th term \(a_n=7n+3\)?

Explanation opens after your attempt
Correct Answer

C. \(10,17,24,31,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives \(10,17,24,31,\ldots\). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(10,17,24,31,\ldots\). Putting (n=1,2,3,4) gives \(10,17,24,31,\ldots\). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर \(10,17,24,31,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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किस समांतर श्रेणी का (n)वाँ पद \(a_n=5n+4\) है?

Which arithmetic progression has (n)th term \(a_n=5n+4\)?

Explanation opens after your attempt
Correct Answer

C. \(9,14,19,24,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives \(9,14,19,24,\ldots\). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(9,14,19,24,\ldots\). Putting (n=1,2,3,4) gives \(9,14,19,24,\ldots\). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर \(9,14,19,24,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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किस समांतर श्रेणी का (n)वाँ पद \(a_n=6n+1\) है?

Which arithmetic progression has (n)th term \(a_n=6n+1\)?

Explanation opens after your attempt
Correct Answer

C. \(7,13,19,25,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives \(7,13,19,25,\ldots\). Form the initial terms from the rule and match the option.

Step 2

Why this answer is correct

The correct answer is C. \(7,13,19,25,\ldots\). Putting (n=1,2,3,4) gives \(7,13,19,25,\ldots\). Form the initial terms from the rule and match the option.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर \(7,13,19,25,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।

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किस विकल्प में \(a_n=16-2n\) से बने पहले चार पद हैं?

Which option has the first four terms formed by \(a_n=16-2n\)?

Explanation opens after your attempt
Correct Answer

A. (14,12,10,8)

Step 1

Concept

Putting (n=1,2,3,4) gives (14,12,10,8). When forming terms from a rule, start with (n=1).

Step 2

Why this answer is correct

The correct answer is A. (14,12,10,8). Putting (n=1,2,3,4) gives (14,12,10,8). When forming terms from a rule, start with (n=1).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (14,12,10,8) मिलते हैं। नियम से पद बनाते समय (n=1) से शुरू करें।

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यदि \(a_n=4n+3\) है, तो पहले चार पद कौन-से होंगे?

If \(a_n=4n+3\), what will be the first four terms?

Explanation opens after your attempt
Correct Answer

A. (7,11,15,19)

Step 1

Concept

Putting (n=1,2,3,4) gives (7,11,15,19). When forming terms from a rule, start (n) from (1).

Step 2

Why this answer is correct

The correct answer is A. (7,11,15,19). Putting (n=1,2,3,4) gives (7,11,15,19). When forming terms from a rule, start (n) from (1).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (7,11,15,19) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।

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किस विकल्प में \(a_n=10-3n\) से बने पहले चार पद हैं?

Which option has the first four terms formed by \(a_n=10-3n\)?

Explanation opens after your attempt
Correct Answer

A. (7,4,1,-2)

Step 1

Concept

Putting (n=1,2,3,4) gives (7,4,1,-2). When forming terms from a rule start with (n=1).

Step 2

Why this answer is correct

The correct answer is A. (7,4,1,-2). Putting (n=1,2,3,4) gives (7,4,1,-2). When forming terms from a rule start with (n=1).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (7,4,1,-2) मिलते हैं। नियम से पद बनाते समय (n=1) से शुरू करें।

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यदि \(a_n=3n+2\) है, तो पहले चार पद कौन-से होंगे?

If \(a_n=3n+2\), what will be the first four terms?

Explanation opens after your attempt
Correct Answer

A. (5,8,11,14)

Step 1

Concept

Putting (n=1,2,3,4) gives (5,8,11,14). When forming terms from a rule start (n) from (1).

Step 2

Why this answer is correct

The correct answer is A. (5,8,11,14). Putting (n=1,2,3,4) gives (5,8,11,14). When forming terms from a rule start (n) from (1).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (5,8,11,14) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।

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किस समानांतर श्रेढ़ी का (n)वाँ पद \(a_n=3n+8\) है?

Which arithmetic progression has (n)th term \(a_n=3n+8\)?

Explanation opens after your attempt
Correct Answer

B. \(11,14,17,20,\ldots\)

Step 1

Concept

Putting (n=1,2,3,4) gives (11,14,17,20). Form the first few terms from the rule and match.

Step 2

Why this answer is correct

The correct answer is B. \(11,14,17,20,\ldots\). Putting (n=1,2,3,4) gives (11,14,17,20). Form the first few terms from the rule and match.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (11,14,17,20) मिलते हैं। नियम से पहले कुछ पद बनाकर मिलाएं।

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यदि \(a_n=4n^2-3n+8\) है तो पहले तीन पद कौन-से हैं?

If \(a_n=4n^2-3n+8\), what are the first three terms?

Explanation opens after your attempt
Correct Answer

A. (9,18,35)

Step 1

Concept

Putting (n=1,2,3) gives (9,18,35). Calculate each term carefully in a quadratic rule.

Step 2

Why this answer is correct

The correct answer is A. (9,18,35). Putting (n=1,2,3) gives (9,18,35). Calculate each term carefully in a quadratic rule.

Step 3

Exam Tip

(n=1,2,3) रखने पर (9,18,35) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।

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किस विकल्प में \(a_n=3n^2-2n+6\) से बने पहले तीन पद हैं?

Which option contains the first three terms formed by \(a_n=3n^2-2n+6\)?

Explanation opens after your attempt
Correct Answer

A. (7,14,27)

Step 1

Concept

Putting (n=1,2,3) gives (7,14,27). To check options, find the initial terms.

Step 2

Why this answer is correct

The correct answer is A. (7,14,27). Putting (n=1,2,3) gives (7,14,27). To check options, find the initial terms.

Step 3

Exam Tip

(n=1,2,3) रखने पर (7,14,27) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद निकालें।

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यदि \(a_n=n^2+6n+5\) है तो पहले चार पद कौन-से हैं?

If \(a_n=n^2+6n+5\), what are the first four terms?

Explanation opens after your attempt
Correct Answer

A. (12,21,32,45)

Step 1

Concept

Putting (n=1,2,3,4) gives (12,21,32,45). Start (n) from (1) when forming terms from a rule.

Step 2

Why this answer is correct

The correct answer is A. (12,21,32,45). Putting (n=1,2,3,4) gives (12,21,32,45). Start (n) from (1) when forming terms from a rule.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (12,21,32,45) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।

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यदि \(a_n=3n^2-2n+5\) है तो पहले तीन पद कौन-से हैं?

If \(a_n=3n^2-2n+5\), what are the first three terms?

Explanation opens after your attempt
Correct Answer

A. (6,13,26)

Step 1

Concept

Putting (n=1,2,3) gives (6,13,26). Calculate each term carefully in a quadratic rule.

Step 2

Why this answer is correct

The correct answer is A. (6,13,26). Putting (n=1,2,3) gives (6,13,26). Calculate each term carefully in a quadratic rule.

Step 3

Exam Tip

(n=1,2,3) रखने पर (6,13,26) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।

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किस विकल्प में \(a_n=2n^2-n+4\) से बने पहले तीन पद हैं?

Which option contains the first three terms formed by \(a_n=2n^2-n+4\)?

Explanation opens after your attempt
Correct Answer

B. (5,10,19)

Step 1

Concept

Putting (n=1,2,3) gives (5,10,19). To check options, find the initial terms.

Step 2

Why this answer is correct

The correct answer is B. (5,10,19). Putting (n=1,2,3) gives (5,10,19). To check options, find the initial terms.

Step 3

Exam Tip

(n=1,2,3) रखने पर (5,10,19) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद निकालें।

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यदि \(a_n=n^2+5n+6\) है तो पहले चार पद कौन-से हैं?

If \(a_n=n^2+5n+6\), what are the first four terms?

Explanation opens after your attempt
Correct Answer

C. (12,20,30,42)

Step 1

Concept

Putting (n=1,2,3,4) gives (12,20,30,42). When forming terms from a rule start (n) from (1).

Step 2

Why this answer is correct

The correct answer is C. (12,20,30,42). Putting (n=1,2,3,4) gives (12,20,30,42). When forming terms from a rule start (n) from (1).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (12,20,30,42) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।

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यदि \(a_n=2n^2+2n+1\) है तो पहले तीन पद कौन-से हैं?

If \(a_n=2n^2+2n+1\), what are the first three terms?

Explanation opens after your attempt
Correct Answer

D. (5,13,25)

Step 1

Concept

Putting (n=1,2,3) gives (5,13,25). Calculate each term carefully in a quadratic rule.

Step 2

Why this answer is correct

The correct answer is D. (5,13,25). Putting (n=1,2,3) gives (5,13,25). Calculate each term carefully in a quadratic rule.

Step 3

Exam Tip

(n=1,2,3) रखने पर (5,13,25) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।

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किस विकल्प में \(a_n=n^2+3n-1\) से बने पहले तीन पद हैं?

Which option contains the first three terms formed by \(a_n=n^2+3n-1\)?

Explanation opens after your attempt
Correct Answer

B. (3,9,17)

Step 1

Concept

Putting (n=1,2,3) gives (3,9,17). To check options, quickly find the initial terms.

Step 2

Why this answer is correct

The correct answer is B. (3,9,17). Putting (n=1,2,3) gives (3,9,17). To check options, quickly find the initial terms.

Step 3

Exam Tip

(n=1,2,3) रखने पर (3,9,17) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद जल्दी निकालें।

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