1. THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review

2. Chapter 13 Previous Lesson Materials

3. What was Chapter 13 about? Sequences  Arithmetic  Geometric  Recursive Series  Finite Arithmetic  Finite Geometric  Infinite Geometric  Sigma Notation

4. Sequences - Arithmetic

5. Arithmetic Sequence- Example Write a rule for the nth term of the arithmetic sequence: a 5 = 18, a 17 = 66 a n = 4n – 2

6. Sequences - Geometric

7. Geometric Sequence- Example Write a rule for the nth term of the geometric sequence: a 2 = 6, a 5 = 162

8. Sequences - Recursive

9. Recursive Sequence- Example Write a recursive definition for the following sequences: a) 9, 13, 17, 21, …b) 1, 3, 7, 13, 21, 31, … a) t n = t n-1 + 4b) t n = t n-1 + 2(n-1)

10. Series – Finite Arithmetic

11. Series – Finite Geometric

12. Finite Series- Example #1 Find the sum of the first 15 terms of the geometric series: 5 – 15 + 45 – 135 + … S 15 = 179, 936, 135

13. Finite Series- Example #2 Find n if S n = -10,602 for the arithmetic series 12 + 6 + 0 + … n = 62

14. Series – Infinite Geometric

15. Infinite Series- Example Determine if the following infinite series diverges or converges. If it converges, state the sum. a) Diverges b) S = 2 a) b)

16. Series – Sigma Notation

17. Sigma Notation- Example What is the summation notation for the series 2 + 4 + 8 + 16?