Warm-Up: May 7, 2012

What are the next three terms in each sequence?

17, 20, 23, 26, _____, _____, _____ 9, 4, -1, -6, _____, _____, _____ 500, 600, 700, 800, _____, _____,

_____

Arithmetic SequencesSection 11-1

Arithmetic Sequences

A sequence is a list of numbers in a particular order.

Each number in a sequence is called a term.

An arithmetic sequence is when each term is found by adding a constant (called the common difference) to the previous term.

nth Term of an Arithmetic Sequence

an = nth term a1 = first term d = common difference n is any positive integer

dnaan 11

Example 2

Find the indicated term

11,2

3,2

51 nda

You-Try #2

Find the indicated term

81,4,201 nda

Example 3

Write an equation for the nth term of the series 11, 15, 19, 23, …

You-Try #3

Write an equation for the nth term of the series 33, 25, 17, 9, …

Arithmetic Means

The terms between any two non-successive terms are called arithmetic means.

Example 4

Find the 3 arithmetic means between 12 and 40

You-Try #4

Find the two arithmetic means between 25 and -14

Assignment

Page 581 #15-43 odd, 46-48, 52-55