If a(1), a(2), a(3), ......... , are in ...

If `a_(1), a_(2), a_(3), ......... `, are in A.P. with common difference 5 and if `a_(i)a_(j) != - 1` for `i ,j = 1, 2, .... , n`, then `tan^(1)(5/(1 + a_(1) a_(2))) + tan ^(1)(5/(1 + a_(2)a_(3))) + ...... + tan^(-1)(5/(1 + a_(n - 1)a_(n)))` is equal to

`tan^(-1)(5/(1 + a_(n)a_(n - 1)))`

`tan^(-1)((5a_(1))/(1 + a_(n)a_(1)))`

`tan^(-1)((5n - 5)/(1 + a_(n)a_(1)))`

`tan^(-1)((5n - 5)/(1 + a_(1)a_(n + 1)))`

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