3. Lesson 1: Sequences An infinite sequence: A finite sequence:

4. Lesson 1: Sequences An infinite sequence: A function whose domain is the set of positive integers. The function values a 1, a 2, a 3, a 4,..., a n,... are the terms of the sequence. A finite sequence: A sequence whose domain of the function consists of the first n positive integers only.

6. Lesson 2: Finding Terms of Sequences B.

7. Lesson 2: Finding Terms of Sequences C. What would the estimated population of the U.S. be for 2010 based on this model? For 2015? Are all of these amounts reasonable?

8. Lesson 2: Finding Terms of Sequences C. What would the estimated population of the U.S. be for 2010 based on this model? For 2015? Are all of these amounts reasonable? Population of the U.S. per U.S. Census Bureau: 2000:281,421,906 2010:308,745,538 2015:321,418,820 (estimated)

9. Lesson 3: The Fibonacci Sequence Recursive Sequence: All other terms of the sequence are defined using previous terms.

10. Lesson 3: The Fibonacci Sequence

11. Lesson 4: Factorial Notation

12. Lesson 4: Factorial Notation 0! = 1! = 2! = 3! = 4! =

13. Lesson 4: Factorial Notation Follow order of operations (PEMDAS): 2n! = (2n)! =

14. Lesson 4: Factorial Notation A.Write the first 5 terms of the sequence given by

15. Lesson 4: Factorial Notation B.Evaluate each factorial expression.