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

**Answer**

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 △OAB is similar to △ONP.

**Attribution***Source : Link , Question Author : dark32 , Answer Author : em29*