1. Turn in your Fall break Packet to the basket. Find the next/missing numbers in each pattern. 1.1,__,5,7,__,… 2.2,4,6,8,__,__,__,… 3.1,3,9,27,__,… 4.1,-3,9,-27,__,… 5.240,__,60,__,15,…

2. Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: What is a Sequence? Is a sequence a function? Can you find the nth term and the domain of a sequence? Standard: MCC9 ‐ 12.R.IF.3

3. Arithmetic Sequence A sequence of terms that have a common difference between them

4. Geometric Sequence A sequence of terms that have a common ratio between them

5. Arithmetic or Geometric? Example 1 : -22, -15, -8, -1, … Arithmetic d = 7

6. Arithmetic or Geometric? Example 2 : 256, 64, 16, 4, … Geometric r = 1/4

7. Arithmetic or Geometric? Example 3 : 7, 4, 1, -2, -5 Arithmetic d = -3

8. Arithmetic or Geometric? Example 4 : NEITHER

9. Arithmetic or Geometric? Example 5 : NEITHER

10. Explicit Formula Formula used to find the n th term of a sequence

11. Explicit Formula for Arithmetic Sequence

12. Explicit Formula for Geometric Sequence

13. Find the common difference/ratio, the explicit formula, and the tenth term. 3, 9, 15, 21, … a n = 6n – 3 d = 6 a 10 = 57

14. Find the common difference/ratio, the explicit formula, and the seventh term. 3, 1.5, 0.75, 0.375, …

15. The fifth term is 1,792. The constant ratio is 4. Write the explicit formula.

16. Homework Sequence Practice WS