JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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n^{\text {th }}

term of the series

2+4+7+11+\cdots

will be

View answer and explanation

Correct option: C

\frac{n^{2}+n+2}{2}

Option C (

\frac{n^{2}+n+2}{2}

) is correct because by finding the difference between consecutive terms and summing the series, the nth term is found to be

\frac{n^{2}+n+2}{2}

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