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If a(1),a(2),a(3),"….",a(n) are in AP, w...

If `a_(1),a_(2),a_(3),"….",a_(n)` are in AP, where `a_(i)gt0` for all I, the value of `(1)/(sqrta_(1)+sqrta_(2))+(1)/(sqrta_(2)+sqrta_(3))+"....."+(1)/(sqrta_(n-1)+sqrta_(n))` is

A

`(1)/(sqrta_(1)+sqrta_(n))`

B

`(1)/(sqrta_(1)-sqrta_(n))`

C

`(n)/(sqrta_(1)-sqrta_(n))`

D

`(n-1)/(sqrta_(1)+sqrta_(n))`

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