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Let f:NtoR be such that f(1)=1 and f(1)+...

Let `f:NtoR` be such that f(1)=1 and `f(1)+2f(2)+3f(3)+.........+nf(n)=n(n+1)f(n)`, for all `ninN,nge2` where N is the set of natural numbers and R is the set of real numbers. Then the value of f(500) is

A

1000

B

500

C

`1//500`

D

`1//1000`

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