a,b,c are in A.P., x is G.M between a and b, y is the G.M between b and c then `b^2` is

If a, b, c are in AP, x is the GM between a and b, y is the GM between b and c, then show that b^(2) is the AM between x^(2) and y^(2) .

Let a,b,c be in A.P. If p is the A.M. between a and b and q is the A.M between b and c, then b is equal to

If p ,q, r are in A.P., a is G.M. between p, q and b is G.M. between q, r, then prove that a^2, q^2, b^2 are in A.P.

a, b, c are in A.P. If x be the G.M. of a and b, and y be the G.M. of b and c, then prove that b^2 is the A.M. of x_2 and y_2 .

If x is the A.M. between a and b, y is the A.M. between b and c, while a, b, c are in G.P., then 1/x + 1/y =

If a be the A.M. and x, y be the two G.M's between b and c, show that x^3+y^3=2abc .

If a is the A.M. between b and c, b the G.M. between a and c, then show that 1/a,1/c,1/b are in A.P.

If a is the A.M. between b and c, b the G.M. between a and c, then show that 1/a,1/c,1/b are in A.P.

If a,b,c are in G.P and A.M of a and b is x and A.M. of b and c is y then…….