JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Sum to

n

terms of the series

\frac{1}{(1+x)(1+2 x)}+\frac{1}{(1+2 x)(1+3 x)}+\frac{1}{(1+3 x)(1+4 x)}+\ldots

View answer and explanation

Correct option: B

\frac{n}{(1+x)[1+(n+1) x]}

Option B (

\frac{n}{(1+x)[1+(n+1) x]}

) is correct because it is the sum to n terms of the given series, obtained by using partial fractions.

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