# SEQUENCES

### ARITHMETIC AND GEOMETRIC

## What is a sequence?

A list of numbers that are in order

## Arithmetic Sequence

When the difference between one term and the next is a constant (add a value each time).

Can be written as {a, a+d, a+2d, a+3d, ...} where * a is the 1st term* and

*between the terms*

**d**is the common difference**The following rule can be used to find any term (n is the term number) in the sequence:**

## ARITHMETIC SEQUENCE

Quick Intro to Arithmetic Sequences

Arithmetic Sequences: A Formula for the ' n - th ' Term

## GEOMETRIC SEQUENCE

each term is found by

*multiplying**the previous term by a**constant*.Can be written as {a, ar, ar^2, ar^3, ...} where *a is the 1st term* and **r*** is the common ratio *between the terms (Note: r cannot equal 0)

The following rule can be used to find any term (n is the term number) in the sequence:

## GEOMETRIC SEQUENCE RESOURCES

A Quick Intro to Geometric Sequences

Geometric Sequences: A Formula for the' n - th ' Term.