Number Sequence Formulas

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Explicit, Recursive, Summation

Last updated 4:36 PM on 1/26/23
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7 Terms

1
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An=A1+d(n-1)
explicit formula of an arithmetic sequence
2
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An=A1(r)^n-1
explicit formula of a geometric sequence
3
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A\`1=_

An-1=An+d
recursive formula of an arithmetic sequence
4
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A1=_

An+1=r(An)
recursive formula of a geometric sequence
5
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Sn=n/2(A1+An)
finite sum of an arithmetic sequence
6
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Sn=A1(1-r^n)/1-r
finite sum of a geometric sequence
7
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S=A1/1-r
infinite sum of a geometric sequence