precal geometric and arithmetic seqyuence formulas

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9 Terms

1
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Sum of a convergent infinite geometric series

Sn=T1/1-r

2
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Condition for convergence

|r|<1

3
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Condition for divergence

|r|>1

4
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Recursive formula for a geometric sequence

An=r*An-1

5
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Recursive formula for an arithmetic sequence

An=An-1+d

6
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Arithmetic sequence explicit formula

An=A1+(n-1)d

7
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Geometric sequence explicit formula

An=A1r^(n-1)

8
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Arithmetic Sum formula

Sn=(n(T1+Tn))/2

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Geometric Sum formula

Sn=(T1(1-r^n))/(1-r)