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

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 …

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

Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems.

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

Problem solving in arithmetic sequence Learn Worked example: using recursive formula for arithmetic sequence Arithmetic sequence problem

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

For example, 2,5,8 follows the pattern "add 3," and now we can continue the sequence. Sequences can have formulas that tell us how to find any term in the sequence.

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 …

Parts and formulas of geometric sequence In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio. For example, the …