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)((d)/(1+a_(n-1)a_(n)))}` is equal toA. `((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))`

If `a_(1),a_(2),a_(3),….a_(n)` is a.p with common difference d then

1.	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)((d)/(1+a_(n-1)a_(n)))}` is equal toA. `((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))`
Answer» Correct Answer - B

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