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.

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.

Practice Up next for you: Extend arithmetic sequences Get 3 of 4 questions to level up!

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.

Understanding Patterns: Recursive formulas show how each number in a sequence is calculated based on the previous one. This helps you recognize and understand number patterns.

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 …

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 arithmetic …

Learn how to convert between recursive and explicit formulas of arithmetic sequences. Before taking this lesson, make sure you know how to find recursive formulas and explicit formulas of arithmetic …

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

Sal extends the arithmetic sequences -8, -14, -20, -26,... and 2, -1, -4, -7, -10,... to find their next terms.