1. New EQ: How are sequences like functions?
Math 1 10/6/11
New EQ: How are sequences like functions?
Turn in homework – page 42
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WARM-UP: Write the next 3 terms in the sequences below
1. 3, 6, 9, 12, …
2. 4, 10, 16, 22, …
3. 10, 8, 6, 4, 2, …

2. Go over homework pp. 42

5. SEQUENCE NOTES What's a sequence? Examples Notation
A sequence is a list of numbers
Any time you write numbers in a list format, you are creating a sequence
What's a sequence?
1, 2, 3, 4, 5, ...
2, 4, 6, 8, 10, ...
-3, -7, -11, ...
Examples an
n tells the number of the term
n = 1, 2, 3, 4, 5, ...
Notation

6. SEQUENCE NOTES
A _____________ of a sequence is just a number that is in the sequence.
Terms are identified by their location in the sequence.
The 1st term in a sequence is called a1
The 5th term in a sequence is called a5
Arithmetic sequence:
Common difference: (___)

7. SEQUENCE NOTES an = a(n – 1) + d Recursive formula:
Examples: 1, 3, 4, 7, 9, …
2, 7, 12, 17, …
3, 0, -3, -6, …

8. Identify the 1st term and the difference
Explicit formula:
(Closed form)
an = a1 + d(n – 1)
Examples: 1, 3, 4, 7, 9, …
2, 7, 12, 17, …
3, 0, -3, -6, …
Identify the 1st term and the difference
Substitute into the
formula
Simplify

9. Guided Practice
3, 6, 9, 12, 15, …
What’s a15?
What’s a25?

10. Guided Practice
2) a1 = 6 and d = 2
What’s a4?
What’s a24?
What’s a94?

11. Guided Practice
3) a1 = 8 and a2 = 13

12. Assignment
Complete pages 46