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

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^(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. ,then show that b+c,c+a,a+b are in H.P.

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

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

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