If `G_1` and `G_2` are two geometric means inserted between any two numbers and A is the arithmetic mean of two numbers, then the value of `(G_1^2)/G_2+(G_2^2)/G_1` is:

The arithmetic mean between two numbers is A and the geometric mean is G. Then these numbers are:

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If one A.M., A and two geometric means G_1a n dG_2 inserted between any two positive numbers, show that (G1 ^2)/(G2)+(G2 ^2)/(G_1)=2Adot

If g_(1) , g_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

If A_1 and A_2 are two A.M.s between a and b and G_1 and G_2 are two G.M.s between the same numbers then what is the value of (A_1+A_2)/(G_1G_2)

If H_(1) and H_(2) are two harmonic means between two positive numbers a and b (a != b) , A and G are the arithmetic and geometric menas between a and b , then (H_(2)+H_(1))/(H_(2)H_(1)) is

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)

If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)

If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)

If G_(1),G_(2) are the geometric means fo two series of observations and G is the GM of the ratios of the corresponding observations then G is equal to