अनुक्रम \(1,4,11,26,57,\ldots\) में नियम \(a_{n+1}=2a_n+n+1\) है। अगला पद क्या होगा?

In the sequence \(1,4,11,26,57,\ldots\), the rule is \(a_{n+1}=2a_n+n+1\). What will be the next term?

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Correct Answer

C. (120)

Step 1

Concept

After the fifth term, (n=5), so \(2\times57+6=120\). Exam tip: use the correct current value of (n) in recursion.

Step 2

Why this answer is correct

The correct answer is C. (120). After the fifth term, (n=5), so \(2\times57+6=120\). Exam tip: use the correct current value of (n) in recursion.

Step 3

Exam Tip

पाँचवें पद के बाद (n=5) है इसलिए \(2\times57+6=120\) होगा। पुनरावर्ती सूत्र में वर्तमान (n) सही रखें।

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Mathematics Answer, Explanation and Revision Hints

अनुक्रम \(1,4,11,26,57,\ldots\) में नियम \(a_{n+1}=2a_n+n+1\) है। अगला पद क्या होगा? / In the sequence \(1,4,11,26,57,\ldots\), the rule is \(a_{n+1}=2a_n+n+1\). What will be the next term?

Correct Answer: C. (120). Explanation: पाँचवें पद के बाद (n=5) है इसलिए \(2\times57+6=120\) होगा। पुनरावर्ती सूत्र में वर्तमान (n) सही रखें। / After the fifth term, (n=5), so \(2\times57+6=120\). Exam tip: use the correct current value of (n) in recursion.

Which concept should I revise for this Mathematics MCQ?

After the fifth term, (n=5), so \(2\times57+6=120\). Exam tip: use the correct current value of (n) in recursion.

What exam hint can help solve this Mathematics question?

पाँचवें पद के बाद (n=5) है इसलिए \(2\times57+6=120\) होगा। पुनरावर्ती सूत्र में वर्तमान (n) सही रखें।