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

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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....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....
If a(1/b + 1/c), b(1/c + 1/a), c(1/a + 1/b) are in AP, prove that a,b,c are in AP | Sequence |SeriesIf a(1/b + 1/c), b(1/c + 1/a), c(1/a + 1/b) are in AP, prove that a,b,c are in AP | Sequence |Series
If a,b,c are in A.P. prove that: `a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)` are in A.P.If a,b,c are in A.P. prove that: `a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)` are in A.P.
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.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.
"If `1/a ,1/b ,1/c`are in A.P. prove that: `(b+c)/a ,(c+a)/b ,(a+b)/c`are 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 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.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 a, b, c are in A.P. then show that, `a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a))` andIf a, b, c are in A.P. then show that, `a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a))` and
If `(1)/(b+c),(1)/(c+a),(1)/(a+b)` are in A.P., thenIf `(1)/(b+c),(1)/(c+a),(1)/(a+b)` are in A.P., then