`"If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a),(1)/(a+b) " are also 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,b,c are in A.P,prove that (1)/(bc),(1)/(ca),(1)/(ab), is also 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 also in A.P.

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

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 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 are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P.

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

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

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