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?
Explanation opens after your attempt
C. (120)
Concept
After the fifth term, (n=5), so \(2\times57+6=120\). Exam tip: use the correct current value of (n) in recursion.
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.
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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