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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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nn arithmetic means are inserted between two sets of numbers a,a2&b,b2a, a^2 \& b, b^2 where a,b∈Ra, b \in R. Suppose mm th mean between these two sets of numbers is same, then aa +b+b equals
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Correct option: D
m−n−1m\frac{m-n-1}{m}
Option D (m−n−1m\frac{m-n-1}{m}) is correct because by equating the m-th arithmetic means of the two sets, we can derive the relationship a+b = (m-n-1)/m.

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