1. Bellwork 1) 11, 7, 3, -1,… a) Arithmetic, Geometric, or Neither? b) To get the next term ____________ 1) 128, 64, 32, 16,… a) Arithmetic, Geometric, or Neither? b) To get the next term ____________

2. Bellwork 1) 11, 7, 3, -1,… a) Arithmetic, Geometric, or Neither? b) To get the next term ____________ 1) 128, 64, 32, 16,… a) Arithmetic, Geometric, or Neither? b) To get the next term ____________ Subtract 4 (Add -4) to the previous term Multiply the previous term by ½

3. Homework Questions  Let’s take a look…

4. Quiz Time! Arithmetic: Geometric: If you need additional room, use the back or use blank notebook paper and staple it to the back

5. Objectives  Write the recursive formula given the sequence  Write the sequence given the recursive formula and a 1

6. Recursive Formulas Recursive Process: Used to describe a pattern or sequence by describing how to get from one term to the next. ( You already have this definition from day 1 notes ) anan a n+1 For example: If n is 5, I’m looking at a 5 or a n The next term is a 6 or a n+1.

7. Recursive Formula  Describe the sequence Recursively: 11, 7, 3, -1,…  To get from term to term we subtract 4 (or add -4) So the recursive formula is a n+1 =a n -4 The next term The current term

8. Recursive Formula  Describe the sequence Recursively: 5, 15, 45, 135,…  To get from term to term we multiply by 3 So the recursive formula is a n+1 =3(a n ) The next term The current term

9. Write the Recursive Formula 2,7,12,17, 22,…

10. Write the Recursive Formula 4,12,36,108, 324,…

11. In Class Practice I.C. Practice- Slide 1 Write the Recursive Formula for each Sequence Determine the first 5 terms of the sequences 1) 7, 13, 19, 25, 31,… 3) 625, 125, 25, 5, 1,… 5) 2, -4, 8, -16, 32,… 7) 60, 51, 42, 33, 24,… 2) a 1 = -4 a n+1 = a n +1 4) a 1 = 100 a n+1 = ½ (a n) 6) a 1 = 3 a n+1 = a n -5 8) a 1 = 7 a n+1 = 3(a n)