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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) +…` is `n/2 (n+1) ^(2)` when n is even , When n is odd then the sum will be-

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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