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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
The harmonic mean and geometric mean of two positive numbers are in the ratio 4:54: 5, then two numbers are in the ratio
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Correct option: A
4:14: 1
Option A (n+1−2−nn+1-2^{-n}) is correct. By rewriting the series and summing the geometric progression, we get the result.

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