JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the infinite terms of the series

\frac{5}{{{3^2} + {7^2}}} + \frac{9}{{{7^2} + {{11}^2}}} + \frac{{13}}{{{{11}^2} + {{15}^2}}} + ...

View answer and explanation

Correct option: D

\frac{1}{{72}}

Option D (

\frac{1}{{72}}

) is correct because the sum of the infinite series is found by expressing the general term as a difference of two terms and then summing the series.

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