JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

Let

S_{n}=\frac{1}{1^{3}}+\frac{1+2}{1^{3}+2^{3}}+\frac{1+2+3}{1^{3}+2^{3}+3^{3}}+\ldots

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

, If

100 \mathrm{S}_{n}=n

, then

\mathrm{n}

is equal to:

View answer and explanation

Correct option: A

199

Option A (199) is correct because simplifying the series allows us to find a closed form and solve for n.

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