JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The sum to

n

terms of the series

\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\ldots

, is

View answer and explanation

Correct option: C

\frac{n}{2 n+1}

Option C (

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

) is correct because the series can be expressed as a telescoping series, where most terms cancel out, leaving a simple expression in terms of

n

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