A common mistake students make when learning about sequences and series is mixing them up.

Let's break it down:

• Sequences are just lists of numbers. For example, $2, 4, 6, 8$ is a sequence.

• Series, on the other hand, means you add those numbers together. So, $2 + 4 + 6 + 8$ is a series.

Another thing to keep in mind is whether a sequence is finite or infinite.

A finite sequence has a limit. For example, the sequence $2, 4, 6$ ends there.

An infinite sequence goes on forever, like $2, 4, 6, 8, ...$

Noticing whether a sequence is finite or infinite can change how we look at a problem.

Remembering these differences can make solving math problems much easier!