Exponential Functions and Sequences
Multiple Choice
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14 Terms
An = A1 + (d x n-1)
Arithmetic Sequence Formula
An = A1 x (d)^n-1
Geometric Sequence Formula
F(n) = a x (b)^n
Exponential Function Formula
Exponential growth
When a > 0 and b > 1, the function models…
Exponential decay
When a > 0 and 0 < b < 1, the function models…
F(t) = A x (1+b)^t
Equation for exponential growth/decay, i.e. population growth or a depreciating asset
P(t) = Pe^rt
Formula for continuously compounded interest
A = P(1 + r/n)^nt
Compound Interest Formula
the horizontal asymptote
what is the c in y = a * b^x + c?
The Base
What is the b in y = a * b^x + c?
Number of times compounded annually
What is the n in A = P(1 + r/n)^nt?
The annual interest rate
What is the r in A = P(1 + r/n)^nt?
The initial amount
What is the P in A = P(1 + r/n)^nt?
Amount of years
What is the t in A = P(1 + r/n)^nt?
