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The sum of n terms of the series 1^2+2.2...

The sum of `n` terms of the series `1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+....` is`(n(n+1)^2)/2` when n is even . when n is odd , the sum is

A

`(n(n^(2) + 1))/(3)`

B

`n(n + 1)^(2)`

C

`(n^(2)(n + 1))/(2)`

D

`(n(n^(2) + 1))/(2)`

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