JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Understanding +4 | -1

\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\ldots+\ldots \frac{1}{n .(n+1)}

equals

View answer and explanation

Correct option: B

\frac{n}{n+1}

Option B (

\frac{n}{n+1}

) is correct because the series can be expressed as a telescoping sum, where each term is of the form

\frac{1}{k(k+1)} = \frac{1}{k} - \frac{1}{k+1}

, leading to the result

\frac{n}{n+1}

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