Arithmetic Series

1
Section 8.3

• Arithmetic Series

2
Series

• the sum of the terms of a sequence

What notation is used to show the addition of
many terms?
3
Example 1
203
196
4
Theorem

• The sum Sn a1 a2 . . . an of
• an arithmetic sequence with a1 1st term and d
  constant difference is

OR
5
Example 2

• A packer filled 100 boxes. He
• filled the first one in 13 minutes and got
• faster each time. If he filled the last box in
• 8 minutes, what was the total time that it
• took to fill the 100 boxes?

6
Example 3

• 9 employees are ranked by how well they work
  paid in amounts with a constant difference of
  500 per year. If the total amount paid is
  250,000, what will the range of salaries be?