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If a1, a2,a3, ,an is an A.P. with commo...

If `a_1, a_2,a_3, ,a_n` is an A.P. with common difference `d ,` then prove that `"tan"[tan^(-1)(d/(1+a_1a_2))+tan^(-1)(d/(1+a_2a_3))+tan^(-1)(d/(11+a_(n-1)a_n))]=((n-1)d)/(1+a_1a_n)`

A

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

B

`(nd)/(1+ a_(1)a_(2))`

C

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

D

None of these

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The correct Answer is:
A
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