If a1,a2,a3,...,an are in A.P. with common difference d where ar>0,∀ – InterviewSolution

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1.	If a1,a2,a3,...,an are in A.P. with common difference d where ar>0,∀ r=1,2,3,...,n, then tan[tan−1(d1+a1a2)+tan−1(d1+a2a3)+⋯+tan−1(d1+an−1an)]=
Answer» If $a_{1}, a_{2}, a_{3}, . . ., a_{n}$ are in A.P. with common difference $d$ where $a_{r} > 0, \forall r = 1, 2, 3, . . ., n,$ then $tan [{tan}^{- 1} (\frac{d}{1 + a_{1} a_{2}}) + {tan}^{- 1} (\frac{d}{1 + a_{2} a_{3}}) + \dots + {tan}^{- 1} (\frac{d}{1 + a_{n - 1} a_{n}})] =$

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