1. Specific Sequences
Arithmetic Sequence: A sequence which has a constant difference between terms.
1, 4, 7, 10, 13,…
(generator is +3)
Geometric Sequence: A sequence which has a constant ratio between terms.
4, 8, 16, 32, 64, …
(generator is x2)

2. Sequences v Functions Domain =
Sequence: t(n)
Function: f(n)
Domain =
Domain = Positive Integers (sometimes 0)
Domain =
Domain = Can be all Real numbers

3. What about Percent Decrease?
Percent Increase
What is a 15% increase of 100?
First Step:
Second Step: .
What about Percent Decrease? .
15.% = .
0.15 2 1
Multiplier

4. πPod Problem
Week
Sales 1 2 3 4 n
100 =
115 = =
132.25 = =
152.09 = =
174.9 = = n

5. What about Exponential Decay?
Exponential Growth
A = P ( 1 + r ) t
A: Amount after time t
P: Principle (starting amount)
t: Time after starting point
r: Decimal increase (% ÷ 100)
What about Exponential Decay?
Learning Log

6. A(t) = P ( 1 – r ) t Exponential Decay
A(t): Amount as a function in terms of t
P: Principle (starting amount)
t: Time after starting point
r: Decimal decrease (% ÷ 100)
Learning Log