Sequences and Series Formulas

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10 Terms

1
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Common Difference (d)

a2-a1

2
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Arithmetic Sequence

an=a1+d(n-1)

3
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Arithmetic mean

Terms between two non-consecutive terms

4
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Sum formula for series

Sn=n/2(a1+an)

5
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A SEQUENCE is a…

List

6
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A SERIES is a…

Sum

7
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Describe sigma notation for arithmetic sum (what’s on top, bottom, and at the right?)

k (the ending term) is on top, n=# (starting term) is on bottom, and an is to the right

8
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Common ratio (r)

a2/a1

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Geometric sequence

an=a1(r)^n-1

10
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Geometric series

Sn=a1(1-r^n)/1-r