If a_(1), a_(2), a_(3),……,a_(n) are in AP, where a_(i) gt 0 for al – InterviewSolution

InterviewSolution

1.	If a_(1), a_(2), a_(3),……,a_(n) are in AP, where a_(i) gt 0 for all i, show that (1)/(sqrt(a_(1)) + sqrt(a_(2))) + (1)/(sqrt(a_(2)) + sqrt(a_(3))) + …..+ (1)/(sqrt(a_(n-1))+ sqrt(a_(n)))= (n-1)/(sqrt(a_(1)) + sqrt(a_(n)))
Answer» ANSWER :`((N-1)d)/(d(SQRT(a_(n))+ sqrt(a_(1))))`

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