Question

If `{a_(n)}` is a G.P. of positive terms then :
`(sqrt(a_(1)a_(2))+sqrt(a_(3)a_(4))+cdots+sqrt(a_(2n-1).a_(2n)))/(sqrt(a_(2)a_(3))+sqrt(a_(4)a_(5))+cdots+sqrt(a_(2n.)a_(2n-1)))`=
A. `a_(1)+a_(3)+cdots+a_(2n-1)`
B. `a_(2)+a_(4)+cdots+a_(2n)`
C. `(a_(2)+a_(4)+cdots+a_(2n))/(a_(1)+a_(3)+cdots+a_(2n-1))`
D. `(a_(1)+a_(3)+cdots+a_(2n-1))/(a_(2)+a_(4)+cdots+a_(2n))`

Answer 1

Correct Answer - D