Progressions
7. Relation in AM, GM and HM
For any given series, \(AM{\rm{ }} \ge {\rm{ }}GM{\rm{ }} \ge {\rm{ }}HM\).
If there are only two numbers \(a\) and \(b\) and their \(AM, GM\) and \(HM\) are \(A, G\) and \(H\), then
\[{G^2} = A \times H\]
For any given series, \(AM{\rm{ }} \ge {\rm{ }}GM{\rm{ }} \ge {\rm{ }}HM\).
If there are only two numbers \(a\) and \(b\) and their \(AM, GM\) and \(HM\) are \(A, G\) and \(H\), then
\[{G^2} = A \times H\]