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Find the sum to n terms of the series :3...

Find the sum to n terms of the series :`3xx1^2+5xx2^2+7xx3^2+............`

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The given series is `3xx1^2+5xx2^2+7xx3^2+............`
`a_n=(2n+1)n^2=2n^3+n^2`
`:. S_n=sum_(k=1)^na_k`
`=sum_(k=1)^n(2k^3+k^2)`
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