Evaluate the following: 1. For f(4) 2. For f(-3) 3. For f(-9)

CCGPS Acc. Algebra UNIT QUESTION: How do we graph functions, and what can be done to change the way they look? Standard: MM1A1 Essential Question: How do we write the function to represent a sequence? Standard: MM1A1f

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.

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

Sequences These prize amounts form a sequence. Sequence: A function whose domain is a set of consecutive whole numbers. What would be the value on Day 6? Day 7?

Sequences The values in the range are called the terms of the sequence. Domain:1234…....n Range:a 1 a 2 a 3 a 4 ….. a n A sequence can be specified by an equation or rule.

Contest a 1 $150 a 2 $300 a 3 $450 a 4 $600 a 5 $750 a n represents a general term where n can be any number. What is the closed formula for a n ?

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

Writing Terms of a Sequence a n = 2n – 3 Find a 1, a 2, a 3, a 4, a 5 a 1 = -1First Term a 2 = 1Second Term a 3 = 3Third Term a 4 = 5Fourth Term a 5 = 7Fifth Term

Practice a n = -5n + 20 Find a 1, a 2, a 3, a 4, a 5 a 1 = First Term a 2 = Second Term a 3 = Third Term a 4 = Fourth Term a 5 = Fifth Term

Writing Rules Using the Formula: a n = a 1 + d(n-1) a 1 = 3First Term a 2 = 5Second Term a 3 = 7Third Term a 4 = 9Fourth Term a n = nth Term What is the rule? a n = ??? a n = 3 + 2(n-1) a n = 3 + 2n – 2 = 2n + 1

Writing Rules for a Sequence a 1 = 2First Term a 2 = 6Second Term a 3 = 10Third Term a 4 = 14Fourth Term a n = nth Term What is the rule? a n = ??? a n = 4n - 2

Writing Rules for a Sequence a 1 = 7First Term a 2 = 4Second Term a 3 = 1Third Term a 4 = -2Fourth Term a n = ??nth Term What is the rule? a n = ???

Try This! a 1 = 5First Term a 2 = 12Second Term a 3 = 19Third Term a 4 = 26Fourth Term a n = nth Term What is the rule? a n = ??? a n = 7n - 2

EOCT Practice a)77b) 81 c) 84d) 86 b

EOCT Practice Find the 25th term of the sequence 7, 11, 15, 19, 23,... a)103b) 104 c) 107d) 111 a

Classwork/Homework Sequence Practice Worksheet You’re Toast, Dude! Task