Algebra II Sequences and Series Terms and Equations

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Last updated 4:52 PM on 7/5/25
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6 Terms

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

Equation for Arithmetic Sequences

2
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a_{n}=a_1\cdot r^{n-1}

Equation for Geometric Sequences

3
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S_{n}=\frac{n}{2}\left(a_1+a_{n}\right)

Equation for Arithmetic Series

4
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S_{n}=\frac{a1-a_{n}\cdot r^{}}{1-r}

Equation for Geometric Series (an)

5
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S_{n}=\frac{a1-a1\cdot r^{n}}{1-r}

Equation for Geometric Series (a1)

6
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S_{n}=\frac{a_1}{1-r}

Equation for Geometric Series (Infinite)