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

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Presentation on theme: "Specific Sequences Arithmetic Sequence: A sequence which has a constant difference between terms. 1, 4, 7, 10, 13,… (generator is +3) Geometric Sequence:"— Presentation transcript:

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


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