# Why is a geometric progression called so? [duplicate]

Just curious about why geometric progression is called so. Is it related to geometry?

Here’s an extremely nice picture illustrating the geometric series and making it geometrically clear how it converges when $x<1$.
$s-1=xs$ follows from $PN/ON=BA/OA$ which follows from the fact that $\triangle OAB$ is similar to $\triangle ONP$.