Arithmetic and Geometric Sequence and Series
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Last updated 5:20 AM on 10/21/25
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8 Terms
1
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Arithmetic Sequence
a(sub)n = a(sub)1 + (n - 1)d
2
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Sum of finite arithmetic sequence 1
S(sub)n = n/2 (a(sub)1 + a(sub)n)
3
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Sum of finite arithmetic sequence 2
S(sub)n = n/2 [2a(sub)1 + (n - 1)d]
4
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Geometric sequence
a(sub)n = a × r^n-1
5
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Sum of finite geometric series
S(sub)n = a(sub)1(1 - r^n)/1 - r
[r ≠ 1]
6
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Sum of infinite geometric series
S(sub)n = a(sub)1/1 - r
[|r| < 1, r ≠ 1]
7
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d = ?
d = a(sub)n - a(sub)n-1
8
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r = ?
r = a(sub)n/a(sub)n-1
