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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If one geometric mean GG and two arithmetic means A1A_1 and A2A_2 are inserted between two given quantities, then (2A1−A2)(2A2−A1)=\left(2 A_1-A_2\right)\left(2 A_2-A_1\right)=
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Correct option: C
G2G^2
Option C (G2G^2) is correct because, by expressing A1 and A2 in terms of a and b, the expression simplifies to ab, which is equal to G squared.

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