If a,b,c are in A.P., then prove that the following are also in A.P. a(b1+c1),b(c1+a1),c(a1+b1)

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If {a},{b},{c} are in A.P., then prove that the following are

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If $a, b, c$ are in A.P., then prove that the following are also in A.P. $a (\frac{1}{b} + \frac{1}{c}), b (\frac{1}{c} + \frac{1}{a}), c (\frac{1}{a} + \frac{1}{b})$

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a, b, c

are in A.P., then prove that the following are also in A.P.

a (\frac{1}{b} + \frac{1}{c}), b (\frac{1}{c} + \frac{1}{a}), c (\frac{1}{a} + \frac{1}{b})

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Question Text

a, b, c

are in A.P., then prove that the following are also in A.P.

a (\frac{1}{b} + \frac{1}{c}), b (\frac{1}{c} + \frac{1}{a}), c (\frac{1}{a} + \frac{1}{b})