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.

Get comfortable with sequences in general, and learn what arithmetic sequences are.

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.

Learn how to write an arithmetic sequence in general terms, using a common difference d and a first term a. Next, we'll see that this formula is equivalent to multiplying the average of the first …

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.

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 …

Learn how to find explicit formulas for arithmetic sequences. For example, find an explicit formula for 3, 5, 7,... Before taking this lesson, make sure you are familiar with the basics of arithmetic …

An arithmetic sequence may have different equivalent formulas, but it's important to remember that only the standard form gives us the first term and the common difference.

Learn how to find recursive formulas for arithmetic sequences. For example, find the recursive formula of 3, 5, 7,...

Practice Recursive formulas for arithmetic sequences Get 3 of 4 questions to level up!