" 12.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 (1)/(bc),(1)/(ca),(1)/(ab), is also 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^(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 also 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 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 (1)/(b+c), (1)/(c+a), (1)/(a+b) are also in A.P.

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