JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

{a_1},{a_2},{a_3}, \ldots ,{a_n}

be an AP of non-zero terms, then

\frac{1}{{{a_1}{a_2}}} + \frac{1}{{{a_2}{a_3}}} + ... + \frac{1}{{{a_{n - 1}}{a_n}}}

is equal to

View answer and explanation

Correct option: A

\frac{{n - 1}}{{{a_1}{a_n}}}

Option A,

\frac{{n - 1}}{{{a_1}{a_n}}}

, is correct because it represents the sum of the series of reciprocals of products of consecutive terms in an arithmetic progression.

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