Demonstrate the inequality of averages for a quantity of $N$ terms.
I was thinking of a geometric demonstration of this, like $ n = 2$
This is just an image I found on the internet that illustrates inequality from geometry, but to follow my resolution:
A triangle inscribed in a circle with radii $ a $ and $ b $ and height $ h $
$2R = a+b$
$R= \frac{a+b}{2}$ (AM)
and
$h^2=ab$
$h+\sqrt{ab}$
