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

If `a_(1) , a_(2) , a_(3),"…………."a_(n)` are in A.P., where `a_(i) gt 0` for all i, then the value of `:`
`(1) /( sqrt(a_(1))+sqrt(a_(2)))+ (1) /( sqrt(a_(2))+sqrt(a_(3)))+"......"+(1) /( sqrt(a_(n-1))+sqrt(a_(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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