1. Infinite GP’s

2. Sum of an Infinte GP: the sum of a infinite sequence can converge or diverge
Converge: A sequence that converges has a limit it approaches. 
Diverge: A sequence that diverges either has no limit or approaches infinity.

3. Common Ratio
The absolute value of the common ratio must be less than 1
If we remember absolute values then what range must r be in?
What happens if r is greater than 1 or less than -1?

4. Example
Figure out if each sequence is converging or diverging:

5. Example
For what values of this does the series converge?

6. Example
Find the first 3 terms of the infinite GP: Sum=1 and a=1/2

7. Example
Find the sum of an infinite GP if the sum of the first two terms is 80 and the third term is 4.

8. Group Problem
Find all values of x which work for the given infinite GP Sum