JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The

\operatorname{sum} \frac{3}{1^{2}}+\frac{5}{1^{2}+2^{2}}+\frac{7}{1^{2}+2^{2}+3^{2}}+\ldots

upto 11 -terms is:

View answer and explanation

Correct option: C

\frac{11}{2}

Option C (

\frac{11}{2}

) is correct because the series can be expressed as a telescoping series, allowing for simplification and direct calculation.

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\frac{3}{4}