" (ii) "a(b+c),b(c+a),c(a+b)" 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 a/(b + c), b/(c + a), c/(a + b) are in A.P., then

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

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

If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A.P.

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

Suppose that a, b, c are in A.P. Prove that a^2(b+c),b^2(c+a),c^2(a+b) are in A.P.

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

If a/(b+c),b/(c+a),c/(a+b) are in A.P. and a+b+c!=0 prove that 1/(b+c),1/(c+a),1/(a+b) are in A.P.