Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems.

An arithmetic sequence creates each term by adding (or subtracting) a common value. A geometric sequence uses multiplication (or division) by a common value to create the next term.

Sal introduces arithmetic sequences and their main features, the initial term and the common difference. He gives various examples of such sequences, defined explicitly and recursively.

This topic covers: - Recursive and explicit formulas for sequences - Arithmetic sequences - Geometric sequences - Sequences word problems

Given the first few terms in an arithmetic sequence, find the next term in the sequence.

An arithmetic sequence is a sequence where the difference between consecutive terms is constant. For example, {−10, −7, −4, −1, 2, 5, 8, 11} is an arithmetic sequence because −7 − (−10) = −4 − (−7) = …

In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.

We'll explore fancier sequences. The sequences where you keep adding the same amount, we call these arithmetic sequences, which we will also explore in more detail.

Sal introduces arithmetic sequences and their main features, the initial term and the common difference. He gives various examples of such sequences, defined explicitly and recursively.

In this unit, we learn about the various ways in which we can define sequences. We'll construct arithmetic and geometric sequences to describe patterns and use those sequences to solve problems.