ELI5: Explain Like I'm 5

Geometric progression

A geometric progression is like a line of dominoes that gets bigger each time.

Imagine you have a row of dominoes, and each domino is twice as big as the one before it.
The first domino is just one dot.
The second domino is two dots (because it is twice as big as the first domino).
The third domino is four dots (twice as big as the second domino).
The fourth domino is eight dots (twice as big as the third domino), and so on.

This is a geometric progression because each term is found by multiplying the previous term by the same number (in this case, 2).

So, in a geometric progression, each term gets bigger (or smaller) by multiplying the previous term by the same number (called the common ratio).