If a,b,c are in AP, show that ` (a(b+c))/(bc) , (b (c+a))/(ca), (c(a+b))/(ab)`, are also in AP.

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If 1/a, 1/b, 1/c are in A.P., prove that : b+c/a, c+a/b, a+b/c are also in A.P. If 1/a, 1/b, 1/c are in A.P., prove that : b+c/a, c+a/b, a+b/c are also in A.P.
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