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.

If you plotted points (x, y) where x is the term number and y is the value, an arithmetic sequence would form disconnected points that can form a line. It's identical to defining a function as the …

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 …

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 …

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

Sal finds terms of arithmetic sequences using their explicit and recursive formulas.

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,... Before taking this lesson, make sure you are familiar with the basics of …

Foundation for Advanced Math: They prepare you for more complex math topics, like geometric sequences, series, and algorithms in computer science. In short, learning recursive formulas …