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If (b+c)/a,(c+a)/b,(a+b)/c are in A.P.,p...

If `(b+c)/a,(c+a)/b,(a+b)/c` are in A.P.,prove that `1/a,1/b,1/c` are in A.P. given `a+b+cne0.`

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Let`(b+c)/a,(c+a)/b,(a+b)/c` are in A.P. `iff(b+c)/a+1,(c+a)/b+1,(a+b)/c+1` are in A.P.`iff(a+b+c)/a,(a+b+c)/b,(a+b+c)/c` are in A.P. `iff1/a.1/b,1/c` are in A.P.
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