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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a1,a2,a3,…,ana_{1}, a_{2}, a_{3}, \ldots, a_{n} are in HP, then a1a2+a2a3+⋯+an−1ana_{1} a_{2}+a_{2} a_{3}+\cdots+a_{n-1} a_{n} will be equal to
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Correct option: C
(n−1)a1an(n-1) a_{1} a_{n}
Option C ((n−1)a1an(n-1) a_{1} a_{n}) is correct because it is derived by summing the differences of reciprocals in the corresponding AP.

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