Arithmetic and Geometric Sequence and Series

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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

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