Sequences & series intro

Sequences are like chains of ordered terms. Series are sums of terms in sequences. These simple innovations uncover a world of fascinating functions and behavior.
12 exercises available

Now that we understand what a sequence is, we're going to think about what happens to the terms of a sequence at infinity (do they approach 0, a finite value, or +- infinity?).

A finite geometric series is the sum of the first few terms of a geometric sequence. It turns out there's a quick way of finding such a sum, without having to really sum all the terms one-by-one.

Partial sums are another way to think of finite series. Why partial? Because they are a part of an infinite series! Thinking of the partial sums of an infinite series helps us analyze the infinite series itself.