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

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.

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.

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.

Get comfortable with the basics of explicit and recursive formulas for arithmetic sequences.

Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the 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.

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 and last …

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