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Let S(n) denote the sum of the cubes of ...

Let `S_(n)` denote the sum of the cubes of the first n natural numbers and `s_(n)` denote the sum of the first n natural numbers. Then `sum_(r=1)^(n)(S_(r))/( S_(r ))` equals `:`

A

`sum_(r=1)^(n) r`

B

`(1)/(3) sum_(r=1)^(n+1) r`

C

`(n+2)/(3) sum_(r=1)^(n) r`

D

none of these

Text Solution

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The correct Answer is:
C
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