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The period of cos (x+ 4 x+ 9x …. + n^...

The period of cos `(x+ 4 x+ 9x …. + n^(2) x)` is

A

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

B

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

C

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

D

`(pi)/(12n(n+ 1) (2n+1)`

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