If I(r)=r(r^2-1), then sum(r=2)^n 1/(I...

If `I(r)=r(r^2-1)`, then `sum_(r=2)^n 1/(I(r))` is equal to

A

`1/4 (1-1/(n(n+1)))`

B

`1/4 (2-1/(n(n+1)))`

C

`1/4 (1-2/(n(n+1)))`

D

`1/4 (2+ 1/(n(n+1)))`

Verified by Experts

The correct Answer is:

C

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