JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of

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

upto

n

terms is equal to

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because the series telescopes to this result after simplification and partial fraction decomposition.

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