Arithmetic Series Mrs. Ramsey
Arithmetic Series A series is the expression for the SUM of the terms in a sequence. Finite sequences and series have terms you can count individually from 1 to a final whole number, n. Infinite sequences and series continue without end. (infinity)
Examples Finite Sequence: Finite Series: Infinite Sequence:
6, 9, 12, 15, 18 Finite Series: Infinite Sequence: 3, 7, 11, 15… Infinite Series: …
Finite Sequence 2, 11, 20, 29, 38, 47 Write the related series:
Evaluate the series:
Sum of a Finite Arithmetic Series:
An arithmetic series is a series whose terms form an arithmetic sequence. Sum of a Finite Arithmetic Series: a1: 1st term an: nth term n: number of terms
Example: Find the sum: 1, 3, 5, 7 DON’T just add…use the formula
Write the series in summation notation:
…for 33 terms …for n=6 …for n=9
Find the sum of the series:
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