Exponential Functions and Sequences

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14 Terms

1

An = A1 + (d x n-1)

Arithmetic Sequence Formula

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2

An = A1 x (d)^n-1

Geometric Sequence Formula

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3

F(n) = a x (b)^n

Exponential Function Formula

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4

Exponential growth

When a > 0 and b > 1, the function models…

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5

Exponential decay

When a > 0 and 0 < b < 1, the function models…

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6

F(t) = A x (1+b)^t

Equation for exponential growth/decay, i.e. population growth or a depreciating asset

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7

P(t) = Pe^rt

Formula for continuously compounded interest

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8

A = P(1 + r/n)^nt

Compound Interest Formula

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9

the horizontal asymptote

what is the c in y = a * b^x + c?

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10

The Base

What is the b in y = a * b^x + c?

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11

Number of times compounded annually

What is the n in A = P(1 + r/n)^nt?

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12

The annual interest rate

What is the r in A = P(1 + r/n)^nt?

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13

The initial amount

What is the P in A = P(1 + r/n)^nt?

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14

Amount of years

What is the t in A = P(1 + r/n)^nt?

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