JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

The sum of

n

terms of the series

\frac{\frac{1}{2} \cdot \frac{2}{2}}{1^3}+\frac{\frac{2}{2} \cdot \frac{3}{2}}{1^3+2^3}+\frac{\frac{3}{2} \cdot \frac{4}{2}}{1^3+2^3+3^3}+\ldots .

. Is

View answer and explanation

Correct option: B

\frac{\mathrm{n}}{\mathrm{n}+1}

Option B (n/(n+1)) is correct because the nth term can be simplified and the sum telescopes, resulting in n/(n+1).

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