1. 13.3 – Arithmetic and Geometric Series and Their Sums
Objectives: You should be able to…

2. NOTE
The difference between a series and a sequence is that a sequence is a list of terms, where a series is an indicated sum of the terms of sequence.
In section 13.3 we will consider finite series and their sums.

3. Formulas SUM OF FINITE ARITHMETIC SERIES
The sum of the first n terms of an arithmetic series is:

4. Ex. Find S50 of the arithmetic series……

5. Formulas SUM OF FINITE GEOMETRIC SERIES
The sum of the first n terms of a geometric series is:
Where r is the common ratio and r ≠ 1

6. Ex. Find the sum of ... …

7. Example:
Find the sum of all positive 3-digit integers that are divisible by 8.

8. Example: Find the sum of the first 10 terms of the geometric series
2 – – 54 + …