1. 9.3 Geometric Sequences and Series

2. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio

3. Rule of Geometric Sequences Let a 1 = 2 r = 5 Find a 6

4. Rule of Geometric Sequences Let a 2 = 12 a 3 = 36 Find a 6

5. Rule of Geometric Sequences Let a 2 = 12 a 3 = 36 r = 3 Find a 6

6. Finite Sum The equation to find the Finite Sum of a Geometric Sequence

7. Finite Sum Let a 1 = 7, r = 3. Find the sum of the first 9 terms

8. Finite Sum Let a 1 = 7, r = 3. Find the sum of the first 9 terms

9. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio

10. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio 3

11. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio 3

12. Infinite Geometric Series If |r| < 1, it works

13. Infinite Geometric Series Since |0.2| < 1, it works. Let a 1 = 42

14. Homework Page 640 – 641 # 5, 15, 25, 35, 45, 55, 65, 75, 85, 105, 115

15. Homework Page 640 – 641 # 3, 9, 27, 81, 113