The sum of the series 1-2^(2) + 5 - 4^(2...

The sum of the series `1-2^(2) + 5 - 4^(2) + 9 - 6^(2) + cdots + (2n-3)- n^(2)` is

A

`(-n)/(6) (n^(2) +5)`

B

`(n)/(6) (n^(2)-5)`

C

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

D

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

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The correct Answer is:

A

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