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If a(r ) gt 0, r in N and a(1), a(2) , ...

If `a_(r ) gt 0, r in N ` and `a_(1), a_(2) , a_(3) ,"……..",a_(2n)` are in A.P. then `:`
`(a_(1) + a_(2n))/( sqrt( a_(1))+ sqrt(a_(2))) + ( a_(2) + a_(2n-1))/(sqrt(a_(2)) + sqrt(a_(3)))+"......"(a_(n)+a_(n+1))/(sqrt(a_(n))+sqrt(a_(n+1)))` is equal to `:`

A

n-1

B

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

C

`(n-1)/(sqrt(a_(1))+sqrt(a_(n+1)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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