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The sum of n terms of series ab + (a+1) ...

The sum of n terms of series ab + (a+1) (b+1)+(a+2) (b+2) + `cdots ` ( a+(n-1)) (b+n-1) ) if ab =`(1)/(6)` and (a+b) = `(1)/(3)` is

A

`(n)/(6) (1-2n)^(2)`

B

`(n)/(6) (1+n-2n^(2))`

C

`(n)/(6) (1-2n+2n^(2))`

D

none of these

Text Solution

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The correct Answer is:
C
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