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: (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., 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 : 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. and a+b+cne0_2 prove that (b+c)/a,(c+a)/b,(a+b)/c are in A.P.

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

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

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