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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x1,x2,….,xnx_{1}, x_{2}, \ldots ., x_{n} and 1h1,1h2,….1hn\frac{1}{h_{1}}, \frac{1}{h^{2}}, \ldots . \frac{1}{h_{n}} are two A.P's such that x3=h2=8x_{3}=h_{2}=8 and x8=h7=20x_{8}=h_{7}=20, then x5.h10x_{5} . h_{10} equals.
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Correct option: A
2560
Option A (2560) is correct because it is the product of x_5 and h_10, calculated using the properties of arithmetic progressions.

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