A series is formed by adding terms. Here, each term is multiplied by a common ratio r = {{s1.r}}.
To sum a finite geometric series, we need the first term (a), ratio (r), and number of terms (n).
What happens when we add forever? Let and .
An infinite series only has a finite sum (converges) if the ratio |r| < 1. Otherwise, it explodes (diverges).
Use the formula for an infinite sum:
You've successfully built, analyzed, and calculated geometric series, even out to infinity!