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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Sn\mathrm{S}_n for the series (12−22)+(32−42)+(52−62)+…\left(1^2-2^2\right)+\left(3^2-4^2\right)+\left(5^2-6^2\right)+\ldots is
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Correct option: C
−n(2n+1)-n(2 n+1)
Option C (-n(2n+1)) is correct because it is the correct sum of the given series up to n terms.

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