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If a(k)=(1)/(k(k+1)) for k=1,2,3, .., n...

If ` a_(k)=(1)/(k(k+1)) for k=1,2,3, ..`, n, then
`(sum_(k=1)^(n) a_(k))^(2)=`

A

1)`(n^(6))/((n+1)^(6))`

B

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

C

3) `(n^(2))/((n+1)^(2))`

D

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

Text Solution

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The correct Answer is:
B
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