1. Warm-Up: Evaluating Functions
Evaluate the following:
1. For f(4)
2. For f(-3)
Have students recall how to solve
3. For f(-9)

2. How do we write the function to represent a sequence?
CCGPS Alg Support
UNIT QUESTION: How do we graph functions, and what can be done to change the way they look?
Standard: MM1A1
Today’s Question:
How do we write the function to represent a sequence?
Standard: MM1A1f

3. Sequences
Everyday a radio station asks a question for a prize of $150. If the fifth caller does not answer correctly, the prize money increased by $150 each day until someone correctly answers their question.
Make a list of the prize money for a week from Monday to Friday if no one gets it right.

4. Contest Monday: $150 Tuesday: $300 Wednesday: $450 Thursday: $600
Friday: $750

5. Sequences These prize amounts form a sequence.
Sequence: A function whose domain is a set of consecutive whole numbers.

6. Sequences
The values in the range are called the terms of the sequence.
Domain: …....n
Range: a1 a2 a3 a4….. an
A sequence can be specified by an equation or rule.

7. Contest
a1 $150
a2 $300
a3 $450
a4 $600
a5 $750
an represents a general term where n can be any number. What is the closed formula for an?

8. Sequences
Sequences can continue forever. We can calculate as many terms as we want as long as we know the rule or equation for an.
Example:
2, 8, 14, 20, ___ , ___,……. _____ .
an = 6n - 4

9. Writing Terms of a Sequence
an = 2n – 3
Find a1, a2, a3, a4, a5
a1 = -1 First Term
a2 = 1 Second Term
a3 = 3 Third Term
a4 = 5 Fourth Term
a5 = 7 Fifth Term

10. Practice an = -5n + 20 Find a1, a2, a3, a4, a5 a1 = First Term
a2 = Second Term
a3 = Third Term
a4 = Fourth Term
a5 = Fifth Term 15 10 5 -5

11. Arithmetic
Sequences

12. Writing Rules Using the Formula: an = a1+ d(n-1)
a1 = 3 First Term
a2 = 5 Second Term
a3 = 7 Third Term
a4 = 9 Fourth Term
an = nth Term
What is the rule? an = ???
an= 3 + 2(n-1)
an= 3 + 2n – 2 = 2n + 1

13. Writing Rules for a Sequence
a1 = 2 First Term
a2 = 6 Second Term
a3 = 10 Third Term
a4 = 14 Fourth Term
an = nth Term
What is the rule? an = ???
an= 4n - 2

14. Writing Rules for a Sequence
a1 = 7 First Term
a2 = 4 Second Term
a3 = 1 Third Term
a4 = -2 Fourth Term
an = ?? nth Term
What is the rule? an = ???

15. EOCT Practice
77 b) 81
c) d) 86 b

16. EOCT Practice
Find the 25th term of the sequence 7, 11, 15, 19, 23, ...
103 b) 104
c) d) 111 a

17. Homework
Practice Sequence Worksheet

18. Try This! a1 = 5 First Term a2 = 12 Second Term a3 = 19 Third Term
a4 = 26 Fourth Term
an = nth Term
What is the rule? an = ???
an= 7n - 2