Let H(n) = 1 + (1)/(2) + cdots + (1)/(n)...

Let `H_(n) = 1 + (1)/(2) + cdots + (1)/(n)` then the sum to n terms of the series `(1^(2))/(1^(3))+ (1^(2)+2^(2))/(1^(3)+2^(3))+ (1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ cdots ` is

A

`(4)/(3) H_(n)-1`

B

`(4)/(3) H_(n) + (1)/(n)`

C

`(4)/(3) H_(n)`

D

`(4)/(3) H_(n) - (2)/(3) ((n)/(n+1))`

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The correct Answer is:

D

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