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If a1, a2, a3, ..., an are in A.P., where ai > 0 for all i, show that

1/(√a1 +√a2) + 1/(√a2 + √a3) +..... + 1/(√an-1 + √an) = (n-1)/(√a1 + √an)

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Given that  a1, a2, a3, ..., an are in A.P. ∀  ai > 0

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