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If a(1),a(2),a(3),….a(n) is a.p with com...

If `a_(1),a_(2),a_(3),….a_(n)` is 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)(1)/(1+a_(n-1)a_(n))}` is equal to

A

`((n-1)d)/(a_1+a_n)`

B

`((n-1)d)/(1+a_1a_n)`

C

`(nd)/(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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