Geometric mean & a.g.p

.Let a_1, a_2,............ be positive real numbers in geometric progression. For each n, let A_n G_n, H_n, be respectively the arithmetic mean, geometric mean & harmonic mean of a_1,a_2..........a_n. Find an expression ,for the geometric mean of G_1,G_2,........G_n in terms of A_1, A_2,........ ,A_n, H_1, H_2,........,H_n.

Geometric mean of 4 and 9 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 one geometric mean G and two arithmetic means p,q be inserted between two given numbers,then prove that,G^(2)=(2p-q)(2q-p)

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

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

If arithmetic mean of two positive numbers is A, their geometric mean is G and harmonic mean H, then H is equal to