SEQUENCE AND SERIES#!#Relation between A.M, G.M and H.M

HP|| relation between AM,GM,HM

H.P and relation || Question on A.M,G.M & H.M.

To prove that A.M>=G.M>=H.M

Geometric Mean|Questions|Relationship Between A.M. And G.M.|OMR

Geometric Mean|Relationship Between A.M. And G.M.|Questions|Harmonic Progression|OMR

Which one of the following is true about A.M. , G.M. and H.M. :

Let A,G and H be the A.M,G.M and H.M two positive numbers a and b. The quadratic equation whose roots are A and H is

If A1,A2,G1,G2 and H1,H2 are two A.M's , G.Ms and H.M.'s between two numbers,then (A_(1)+A_(2))/(H_(1)+H_(2))*(H_(1)H_(2))/(G_(1)G_(2))