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If the sum of n terms of the series : ...

If the sum of n terms of the series `:`
`(1)/( 1^(3)) +( 1+2)/( 1^(3) + 2^(3)) +(1+2+3)/(1^(3) + 2^(3) + 3^(3)) + "......."` in `S_(n)` , then `S_(n) ` exceeds 199 for all n greater than `:`

A

` (2)/(n+1)`

B

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

C

` (n)/(n+1)`

D

` (1)/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
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