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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Let there be a G.P. whose first term is aa and the common ratio is rr. If AA and HH are the arithmetic mean and the harmonic mean respectively for the first nn terms of the G.P. Then, AHA H is equal to
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Correct option: A
a2rn−1a^2 r^{n-1}
The correct answer is A (a2rn−1a^2 r^{n-1}) because it is the product of the arithmetic mean (A) and harmonic mean (H) of the first n terms of the given geometric progression.

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