Sequences and Series

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8 Terms

1
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Recursive Arithmetic

aₙ = aₙ₋₁ + d

2
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Explicit Arithmetic

aₙ = a₁ + d(n-1)

3
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Sum of an Arithmetic Series

Sₙ = (ⁿ/₂)(a₁ + aₙ)

<p>Sₙ = (ⁿ/₂)(a₁ + aₙ)</p><p></p>
4
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Recursive Geometric

aₙ = aₙ₋₁・r

5
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Explicit Geometric

aₙ = a₁・rⁿ⁻¹

6
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Sum of a FINITE Geometric Series

Sₙ = a₁(1-rⁿ/1-r)

7
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Sum of an Infinite Geometric Series

S = a₁/(1-r)

<p>S = a₁/(1-r)</p>
8
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Geometric Sequence RATIO

r = aₙ/aₙ₋₁