does this apply only for terms that are less than 1 eg 1 + 1/2 + 1/4…. or does this apply to all ap/gp. I remember studying this, but it’s been so long I remember only the gist.
In: 248
A better way to think of it is that you can divide a finite sum infinitely.
Take a square and cut it in half. Then cut one of those halfs in half. Now cut the half of the half in half, and so on. You can cut the remaining square in half indefinitely, but the total amount of square never changes. What this means is that you have an infinite sum adding up to a finite value. If you start with a finite term, you can find ways to infinitely divide it.
Conversely, if you know how to add infinite divisions, you can calculate if it converges to a value.
Latest Answers