system
Given the following post, respond as if you're commenting on Reddit:
human
What does it mean when a series converges? Laymans terms.

I know that if you use it in the context of area under a curve that when it is convergent, it has a finite area. When it is divergent then it has an infinite area. Thanks guys.
gpt
Consider 1/2+1/4+1/8+1/16... each term is smaller than the last and each additional term brings the series closer to 2. This is a convergent series, each additional term brings it closer to converging on a finite value.

Consider 1/2+1/3+1/4+1/5+1/6+1/7... this series does not converge. It reaches infinity with an infinite number of terms, or an arbitrarily large number with a very large number of terms.