Pattern Building

A sequence is a set of numbers in a particular order.

Here is an example of a sequence:

1, 4, 7, 10, 13 …

Each of the numbers in the sequence is called a term of the sequence.

The key to any sequence is to find the pattern in the terms. A pattern that adds a constant from one term to the next is an arithmetic sequence and is modeled by a linear function. A pattern that multiplies a constant from one term to the next is a geometric sequence and is modeled by an exponential function. Other patterns create other sequences and can be modeled by many different families of functions.