1. 12.4 – Find Sums of Infinite Geometric Series

2. Think about this… What will happen when n becomes really big? It will get closer and closer to zero.

3. The Sum of an Infinite Geometric Series: ONLY IF: IF: there is no sum

4. 1. Find the sum of the geometric series. a 1 = 5 r = < 1 25

5. 2. Find the sum of the geometric series. a 1 = 1 r = < 1

6. 3. Find the sum of the geometric series. a 1 = 1/2 r = > 1 No Sum

7. 4. Find the sum of the geometric series. a 1 = 1 r = < 1

8. 5. Find the sum of the geometric series. a 1 = 3 r = < 1

9. 5. Find the sum of the geometric series. a 1 = 5 r = > 1 No Sum

10. 6. Determine if the series is arithmetic, geometric, or infinite geometric. infinite geometric arithmetic geometric