If a,b,c are in A.P and `a^2,b^2,c^2` are in H.P then which is of the following is /are possible ?

If a,b,c are in A.P. and a^2,b^2,c^2 are in H.P. then which of the following could and true (A) -a/2, b, c are in G.P. (B) a=b=c (C) a^3,b^3,c^3 are in G.P. (D) none of these

If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also in A.P.?

The numbers a,b,c are in A.P. and a+b+c=60 . The numbers (a-2) , b , (c+3) are in G.P. Then which of the following is not the possible value of a^(2)+b^(2)+c^(2) ?

If a ,b ,c are in A.P. and a^2, b^2, c^2 are in H.P., then prove that either a=b=cora ,b ,-c/2 form a G.P.

Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 and e=18 , then the sum of all possible value of c is ________.

Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 and e=18 , then the sum of all possible values of c is ________.

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

If a, b, c are in A.P. and a, x, b, y, c are in G.P., then prove that b^(2) is the arithmatic mean of x^(2)" and "y^(2).

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. (d) a ,b ,c are in H.P.