1. Homework Questions

2. Arithmetic Series
Mrs. Ramsey

3. 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)

4. Examples Finite Sequence: Finite Series: Infinite Sequence:
6, 9, 12, 15, 18
Finite Series:
Infinite Sequence:
3, 7, 11, 15…
Infinite Series: …

5. Finite Sequence 2, 11, 20, 29, 38, 47 Write the related series:
Evaluate the series:

6. 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

7. Example:
Find the sum:
1, 3, 5, 7
DON’T just add…use the formula

8. Summation Notation

9. Write the series in summation notation:
…for 33 terms
…for n=6
…for n=9

10. Find the sum of the series:

11. Homework
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