1. Chapter 6 Recurrence and Solution

2. 6.2 Recurrence Relation 6.3 Solve Homogeneous Recurrence 6.4 Solve Nonhomogeneous Recurrence

3. 6.2 Recurrence Relation

6. Example 2 Region partition for n lines.

8. 6.3 Solve Homogeneous Recurrence Try. Is that O.K.? Yes! Definition: Fibonacci Sequence: 0,1,1,2,3,5,8,… Fibonacci Sequence:

9. Characteristic Equation: Using boundaries: and

10. We have

11. e.g. 3.3 (NTU) Solve with and

12. 6.4 Solve Nonhomogeneous Recurrence Example 1 Solve with and

13. Uisng We have Let, we have It yields, and then we have

14. Finally, we have From