Let
a1,a2,… be positive real number in G.P. for each\n
n, let
An,Gn,Hn be respectively, the arithmetic mean,\n geometric mean, harmonic mean of
a1,a2…an. Find an\n expression for the geometric mean of
G1,G2,…Gn in\n terms of
A1,A2,…An,H1,H2,….Hn if\n
a,H,H2,b are in H.P.