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If a(1),a(2),a(3),....,a(n) is an A.P. w...

If `a_(1),a_(2),a_(3),....,a_(n)` is an A.P. with common difference d, then
`tan[Tan^(-1)(d/(1+a_(1)a_(2)))+Tan^(-1)(d/(1+a_(2)a_(3)))+...Tan^(-1)(d/(1+a_(n-1)a_(n)))=`

A

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

B

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

C

`(nd)/(1+a_(1)a_(n))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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