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.

Get comfortable with sequences in general, and learn what arithmetic sequences are. Before you take this lesson, make sure you know how to add and subtract negative numbers.

The sequences where you keep adding the same amount, we call these arithmetic sequences, which we will also explore in more detail. But to show that this is infinite, to show that we keep this pattern …

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 explicit …

This Arithmetic course is a refresher of place value and operations (addition, subtraction, division, multiplication, and exponents) for whole numbers, fractions, decimals, and integers.

Learn how to find explicit formulas for arithmetic sequences. For example, find an explicit formula for 3, 5, 7,...

Writing explicit formulas Suppose we want to write an explicit formula for 3, 8, 13, … We already know the common difference is + 5 and the first term is 3 . Therefore, this is an explicit formula for the …

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 sequence …

In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems. They even relate to some of the other types of functions we've already learned in interesting ways.