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

Answer

N/a

Explanation

`a((1)/(b) + (1)/(c)), b((1)/(c) + (1)/(a)), c((1)/(a) + (1)/(b))` are in A.P. Adding 1 in each term,
`a((1)/(b) + (1)/(c))
+1, b((1)/(c) + (1)/(a)) + 1, c((1)/(a) + (1)/(b)) + 1` are in A.P.
`rArr a((1)/(b) + (1)/(c) + (1)/(a)), b((1)/(c) + (1)/(a)+(1)/(b)), c((1)/(a) + (1)/(b)+ (1)/(c))` are in A.P.
Divide each term by `((1)/(a) + (1)/(b) + (1)/(c)) *`
a, b, c are in A.P. Hence Proved.