1. Sequences and equations
Section 8.2

2. Objectives Describe sequences using words and symbols
Find terms of arithmetic sequences

3. Notes Describe Sequences A ___________ is an ordered list of numbers.
Each number is called a ________ of the sequence.
When the difference between any two consecutive terms is the same, the sequence is called an ___________________.
The difference is called the _________________.

4. Examples Describe each sequence using words and symbols
1. 4, 8,12,16, …
2. 10, 11, 12, 13,…

5. Notes
Finding Terms
You can use rules to extend patterns and find other terms.
Example:
1. Write an equation that describes the sequence 7, 10, 13, 16, … Then find the 15th term in the sequence.
(Use a table to organize)

6. Examples
2. Write an equation that describes the sequence 5, 8, 11, 14, … Then find the 20th term in the sequence.
3. 10, 11, 12, 13, …; 10th term

7. EXAMPLES
3. 1, 5, 9, 13, …; 89th term
4. 3, 8, 13, 18, …; 70th term

8. H.O.T. Problems
1. Write an arithmetic sequence whose common difference is -8.
2. Use an arithmetic sequence to find the number of multiples of 6 between 41 and 523. Justify your reasoning.

9. ESSENTIAL QUESTION
How can arithmetic sequences could be used to make real-world predictions?
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