If a1,a2,a3....,an is an A.P. with common difference d then tan[tan− – InterviewSolution

1.	If a1,a2,a3....,an is an A.P. with common difference d then tan[tan−1(d1+a1a2)]+tam−1(d1+a2a3)]+...+tan−1(d1+an−1an)]=
Answer» If $a_{1}, a_{2}, a_{3} . . . ., a_{n}$ is an A.P. with common difference d then $t a n [t a n^{- 1} (\frac{d}{1 + a_{1} a_{2}})] + t a m^{- 1} (\frac{d}{1 + a_{2} a_{3}})] + . . . + t a n^{- 1} (\frac{d}{1 + a_{n - 1} a_{n}})] =$

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