Let ?, b, c be in an AP and `a^2, b^2, c^2` be in GP. If a < b < c and `a + b+ c=3/2` then the value of a is

Let 3,b,cbe in an AP and a^(2),b^(2),c^(2) be in GP.If a

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

Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc and a+b+c=(3)/(2) , than find the values of a and c.

If a, b, c are in GP, prove that a^(2), b^(2), c^(2) are in GP.

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 AP and a, b, d are in GP, show that a, (a-b) and (d-c) are in GP.