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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If nn is odd, the sum of nn terms of the series 12−22+32−42+52−62+……1^2-2^2+3^2-4^2+5^2-6^2+\ldots \ldots, is
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Correct option: A
n(n+1)2\frac{n(n+1)}{2}
Option A (n(n+1)2\frac{n(n+1)}{2}) is correct because the sum of the series can be simplified to this expression when n is odd.

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