अनुक्रम \(2,12,30,56,90,\ldots\) का (n)वाँ पद (a_n=n(n+1)(?)) जैसा नहीं है। सही \(a_n\) कौन सा है?

The sequence \(2,12,30,56,90,\ldots\) does not simply fit (a_n=n(n+1)(?)). Which \(a_n\) is correct?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(a_n=n^3+n\)

Step 1

Concept

This question has inconsistent options because \(n^3+n\) gives (10) at (n=2), not (12). Exam tip: verify every option before accepting a pattern.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=n^3+n\). This question has inconsistent options because \(n^3+n\) gives (10) at (n=2), not (12). Exam tip: verify every option before accepting a pattern.

Step 3

Exam Tip

\(n^3+n\) से (2,10) नहीं बल्कि (n=2) पर (10) आता है इसलिए यह गलत है। सही मिलान \(a_n=2n^2+?\) जैसा चाहिए था।

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Mathematics Answer, Explanation and Revision Hints

अनुक्रम \(2,12,30,56,90,\ldots\) का (n)वाँ पद (a_n=n(n+1)(?)) जैसा नहीं है। सही \(a_n\) कौन सा है? / The sequence \(2,12,30,56,90,\ldots\) does not simply fit (a_n=n(n+1)(?)). Which \(a_n\) is correct?

Correct Answer: B. \(a_n=n^3+n\). Explanation: \(n^3+n\) से (2,10) नहीं बल्कि (n=2) पर (10) आता है इसलिए यह गलत है। सही मिलान \(a_n=2n^2+?\) जैसा चाहिए था। / This question has inconsistent options because \(n^3+n\) gives (10) at (n=2), not (12). Exam tip: verify every option before accepting a pattern.

Which concept should I revise for this Mathematics MCQ?

This question has inconsistent options because \(n^3+n\) gives (10) at (n=2), not (12). Exam tip: verify every option before accepting a pattern.

What exam hint can help solve this Mathematics question?

\(n^3+n\) से (2,10) नहीं बल्कि (n=2) पर (10) आता है इसलिए यह गलत है। सही मिलान \(a_n=2n^2+?\) जैसा चाहिए था।