Let $A$ be the arithmetic mean of set $s$, $G$ be the geometric mean, and $H$ be the harmonic mean.
I know that when there are two terms in a set, $G=\sqrt{AH}$. However, is there an equation like this for when there are more than two terms?
I am aware of the A.M-G.M-H.M inequality that states that $H<G<A$. However, I am looking for an equation.