1. Unit 1 Recursive Sequences

2. Warm-Up Sep. 3,4 Factor

3. Sep. 8 Objectives: Identify a “Shifted Geometric sequence”. Find the long run value ( Limit) of a shifted geometric sequence. Warm Up: Factor the following:

5. Sep. 9, 2014 Objectives: 1.Given a real-world problems identify the parts of a recursive formula. 2.Given a desired Long Run Value, find the constant (common difference) of a sifted- geometric sequence. Warm-up: Factor

6. Real World - Problem

7. September 10/11 Objectives: 1.For a Shifted Geometric sequence find the long run value. 2.Generalize how to find the long run value of a shifted geometric sequence.

8. Warm-Up sep. 10

9. September 12, 2014 Objectives: 1.Find the Partial Sum of a Geometric series. 2.Identify the necessary part of a geometric series to apply the Partial Sum formula. Add to Homework 1E: Solve each equation.

10. Warm-up Write a recursive formula for the following financial situation. You take out a loan for $12,500 at 7.5%, compounded monthly, and you make payments for $350. How many month will it take you to pay off the loan?

11. September 15, 2014 Objectives: 1.Given a situation with a recursive situation create a mathematical model and explain your reasoning. 2.Justify mathematically the common difference needed to achieve a certain Long Run value ( Limit).

12. Extention. Each day, the imaginary caterpillar eats 25% more leaves each day than it did the day before. If a 30- day-old caterpillar has eaten 151,677 leaves in its brief lifetime, how many will it eat the next day?