JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of

n

terms of the series

\frac{1}{\sqrt{1}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+\ldots

View answer and explanation

Correct option: B

\frac{-1+\sqrt{2 n+1}}{2}

Option B (

\frac{-1+\sqrt{2 n+1}}{2}

) is correct because it is the sum of the given series after rationalizing and simplifying.

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