If `a,b,c` are in A.P and `a^2, b^2, c^2` are in H.P then

If a,b,c are distinct real numbers such that a, b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P, then

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).

Suppose a,b,c are in A.P and a^2,b^2,c^2 are in G.P If a

If l n(a+c),l n(a-c)a n dl 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. (d) a ,b ,c are in H.P.

If a, b, c, are in A.P. ., p , q,r, are in H.P. and ap ,bq, cr are in G.P. then

If log_(a)x , log_(b)x and log_(c)x are in HP which one of the following is true? (1) (a)/(b+c),(b)/(c+a),(c)/(a+b) are in A.P. (2) b+c, c+a, a+b are in H.P. (3) a ,b ,c are in G.P. (4) a^(2),b^(2),c^(2) are in A.P.