1. 4.7 – Sequences and Functions

2. Vocabulary
Sequence – an ordered list of numbers that often form a pattern
Term – each number in the sequence

3. Describe the pattern in each sequence
5, 8, 11, 14, …
The pattern is to “add 3” to the previous term!
What are the next two terms?
= 17 and = 20
So the next two terms are:
17 and 20

4. Describe the pattern in each sequence
400, 200, 100, 50, …
The pattern is to multiply the previous term by ½
What are the next two terms?
50(1/2) = 25 and 25(1/2) = 12.5
So the next two terms are:
25 and 12.5

5. Just two more vocab words!
Arithmetic Sequence – this is a pattern in which the difference between consecutive terms is constant
i.e. A pattern in which you add or subtract by the same number every time
Common Difference – the constant difference in an arithmetic sequence

6. Tell whether the sequence is arithmetic
Tell whether the sequence is arithmetic. If it is, identify the common difference.
19, 8, -3, -14, …
YES! 
The common difference is….
-11 WHY????

7. Tell whether the sequence is arithmetic
Tell whether the sequence is arithmetic. If it is, identify the common difference.
10, -20, 40, -80 …
No! 

8. Exit Slip: Get out a half sheet of paper.
Answer the following questions all by yourself.

9. Exit Slip:
Describe the pattern and give the next two terms: 1, 3, 9, 27, …
Write an arithmetic sequence with 5 terms that has a common difference of 10.