अनुक्रम \(2,5,14,37,\ldots\) के लिए कौन सा पुनरावर्ती नियम सही है?

Which recursive rule is correct for the sequence \(2,5,14,37,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(a_1=2, a_{n+1}=2a_n+n^2\)

Step 1

Concept

\(2\times2+1^2=5\) and \(2\times5+2^2=14\). Exam tip: check the first two steps when choosing a rule.

Step 2

Why this answer is correct

The correct answer is A. \(a_1=2, a_{n+1}=2a_n+n^2\). \(2\times2+1^2=5\) and \(2\times5+2^2=14\). Exam tip: check the first two steps when choosing a rule.

Step 3

Exam Tip

\(2\times2+1^2=5\) और \(2\times5+2^2=14\) मिलता है। नियम चुनते समय शुरुआती दो चरण जाँचें।

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Mathematics Answer, Explanation and Revision Hints

अनुक्रम \(2,5,14,37,\ldots\) के लिए कौन सा पुनरावर्ती नियम सही है? / Which recursive rule is correct for the sequence \(2,5,14,37,\ldots\)?

Correct Answer: A. \(a_1=2, a_{n+1}=2a_n+n^2\). Explanation: \(2\times2+1^2=5\) और \(2\times5+2^2=14\) मिलता है। नियम चुनते समय शुरुआती दो चरण जाँचें। / \(2\times2+1^2=5\) and \(2\times5+2^2=14\). Exam tip: check the first two steps when choosing a rule.

Which concept should I revise for this Mathematics MCQ?

\(2\times2+1^2=5\) and \(2\times5+2^2=14\). Exam tip: check the first two steps when choosing a rule.

What exam hint can help solve this Mathematics question?

\(2\times2+1^2=5\) और \(2\times5+2^2=14\) मिलता है। नियम चुनते समय शुरुआती दो चरण जाँचें।