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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a1,a2,a3,….,an+1a_1, a_2, a_3, \ldots ., a_{n+1} are in A.P., then 1a1a2+1a2a3+…⋅1anan+1\frac{1}{a_1 a_2}+\frac{1}{a_2 a_3}+\ldots \cdot \frac{1}{a_n a_{n+1}}, is
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Correct option: D
na1an+1\frac{n}{a_1 a_{n+1}}
Option D (na1an+1\frac{n}{a_1 a_{n+1}}) is correct because it simplifies the given expression using the properties of arithmetic progressions.

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