Algebra II Sequences and Series Terms and Equations

a_{n}=a_1+d\cdot\left(n-1\right)

Equation for Arithmetic Sequences

a_{n}=a_1\cdot r^{n-1}

Equation for Geometric Sequences

S_{n}=\frac{n}{2}\left(a_1+a_{n}\right)

Equation for Arithmetic Series

S_{n}=\frac{a1-a_{n}\cdot r^{}}{1-r}

Equation for Geometric Series (an)

S_{n}=\frac{a1-a1\cdot r^{n}}{1-r}

Equation for Geometric Series (a1)

S_{n}=\frac{a_1}{1-r}

Equation for Geometric Series (Infinite)