Question

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. `(sqrt(a_(1))+sqrta_(n))/(n)`
B. `(n)/(sqrt(a_(1))+sqrta_(n))`
C. `(n-1)/(sqrt(a_(1))+sqrta_(n))`
D. `n.sqrt((a_(1).a_(n)))`

Answer 1

Correct Answer - C