Sequences & Series

What is an arithmetic sequence?

A sequence where each term is found by adding a constant amount (the common difference) to the previous term

What is a geometric sequence?

A sequence where each term is found by multiplying the previous term by a constant amount (the common ratio)

What is the common difference in an arithmetic sequence?

The constant amount added to each term to get the next term

What is the common ratio in a geometric sequence?

The constant amount each term is multiplied by to get the next term

What is a series, as opposed to a sequence?

The sum of the terms of a sequence, rather than just the list of terms itself