Exponential Functions and Sequences

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?