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

If a. b, c are in A.P, then show that 1/(bc) , 1/(ca) , 1/(ab) are also in A.P.

If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP.

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

If a, b, c are in A.P., prove that: (i) 1/(bc) , 1/(ca), 1/(ab) are in A.P. (ii) (b+c)^2- a^2 ,(a+c)^2- b^2 , (b+a)^2- c^2 are in A.P.

If a, b, c are in A.P., prove that: (i) 1/(bc) , 1/(ca), 1/(ab) are in A.P. (ii) (b+c)^2- a^2 ,(a+c)^2- b^2 , (b+a)^2- c^2 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,b,c are in A.P.prove that: (i) (1)/(bc),(1)/(ca),(1)/(ab) are in A.P.(ii) (b+c)^(2)-a^(2),(a+c)^(2)-b^(2),(b+a)^(2)-c^(2) are in A.P.

If a, b, c are in H.P., prove that, (1)/(bc), (1)/(ca), (1)/(ab) are in H.P.

If a,b,c in R^(+) form an A.P then prove that a+1 /(bc) , b+1 /(ac) , c+1 /(ab) are also in A.P