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Let S(k)=underset(ntooo)limunderset(i=0)...

Let `S_(k)=underset(ntooo)limunderset(i=0)overset(n)sum(1)/((k+1)^(i))." Then "underset(k=1)overset(n)sumkS_(k)` equals

A

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

B

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

C

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

D

`(n (n +3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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