JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series

1^{2}+2.2^{2}+3^{2}+2.4^{2}+5^{2}+2.6^{2}+\ldots .+2(2 m)^{2}

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Correct option: A

m(2 m+1)^{2}

Option A (m(2m+1)²) is correct because the sum of the series can be simplified and expressed as m(2m+1)².

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