Sequence Formulas

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Explicit Arithmetic

a_n= a₁ + (n - 1)

Explicit Geometric

a_n = a₁ + r ^n-1

Recursive Arithmetic

a_n = a_n-1+d

Recursive Geometric

a_n = r X a_n-1

Exponential Decay

y= a (1-r)^t

Exponential Growth

y= a (1+r)^t

Compound Interest

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

Exponential Function

y=ab^x

Quadratic Function

y=ax²