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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If an+bnan−1+bn−1\frac{a^{n}+b^{n}}{a^{n-1}+b^{n-1}} is the GM\mathrm{GM} between distinct positive numbers aa and bb, then the value of nn is
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Correct option: C
1/21 / 2
Option C (1/21/2) is correct because when n=1/2n = 1/2, the given expression simplifies to the geometric mean of aa and bb.

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