JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The

n^{\text {th}}

term of series

\frac{1}{1}+\frac{1+2}{2}+\frac{1+2+3}{3}+\ldots

will be

View answer and explanation

Correct option: A

\frac{n+1}{2}

Option A (

\frac{n+1}{2}

) is correct because the nth term is the sum of the first n integers divided by n, which simplifies to (n+1)/2.

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