IF `1/a,1/b,1/c` are in AP then prove that `(b+c)/a,(a+c)/b,(a+b)/c` are in AP

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 AP, prove that (i) ((b+c))/a, ((c+a))/b,((a+b))/c are in AP. (ii) ((b+c-a))/a,((c +a-b))/b, ((a+b-c))/c are in AP .

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: (i) (b+c)/a,(c+a)/b,(a+b)/c are also in A.P. (ii) a(b+c),b(c+a),c(a+b) are also in A.P.

If 1/a,1/b,1/c are in A.P. then (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. and a+b+cne0_2 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 : a(b + c), b(c + a), c(a + b) are also in A.P.

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

If a^2, b^2, c^2 are in A.P , then prove that 1/(b+c), 1/(c+a),1/(a+b) are in A.P