JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of

n

terms of the series

\frac{4}{1 \cdot 2 \cdot 3}+\frac{5}{2 \cdot 3 \cdot 4}+\frac{6}{3 \cdot 4 \cdot 5}+\ldots

View answer and explanation

Correct option: C

\frac{5}{4}-\frac{2 n+5}{2(n+1)(n+2)}

Option D (

\frac{5}{4}-\frac{2 n+5}{2(n+1)(n+2)}

) is correct because the sum of n terms of the series is calculated to be in this form by partial fraction decomposition.

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