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The sum of first n terms of the series 1...

The sum of first `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))/4` when `n` is even. When `n` odd the sum is

A

`(n(n + 1)^(2))/4`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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