1. 15.) sequence 16.) term of a sequence 17.) arithmetic sequence
Chapter 4 Vocabulary
15.) sequence
16.) term of a sequence
17.) arithmetic sequence
18.) common difference

2. 4-7 Sequences and Functions
Algebra 1

3. Terminology
Sequence – ordered list of numbers that often form a pattern.
2, 4, 6, 8, …
6 is a term of the sequence. More specifically, 6 is the 3rd term of this sequence.

4. Example 1 Describe a pattern in each sequence
Example 1 Describe a pattern in each sequence. What are the next two terms of each sequence.
Ex. 1a) 5, 11, 17, 23, …
Ex. 1b) 400, 200, 100, 50, …
Ex. 1c) 2, -4, 8, -16,…
Ex. 1d) -15, -11, -7, -3, ….

5. Arithmetic sequence – Add or subtract a number each time.
Common difference – (d) = + or - a #
Ex. 2 Tell whether the sequence is arithmetic. If it is, then what is the common difference?
2a) 8, 15, 22, 30, …. 2b) 7, 9, 11, 13, …
2c) 10, 4, -2, -8, … 2d) 2, -2, 2, -2,…

6. Rule for an Arithmetic Sequence

7. Ex. 3 Write a function rule to represent it.
2b) 7, 9, 11, 13, … 2c) 10, 4, -2, -8, …

8. Ex. 4 Find the second, fourth and eleventh terms of the sequence described by …
A(n) = -7 + (n-1)(5)