1.  What comes next? 1.) 2, 4, 6, 8, _____, _______ 2.) 1, 2, 4, 7, 11, _____, _____ 3.) 2, -4, 8, -16, _____, ______ Bell Ringer

2. Sequences, Reasoning, and Formulas

3.   Consecutive numbers that share a common difference ( + or - )  Example: 2, 6, 10, 14, 18, ….. 1.) Is it an arithmetic sequence? 2.) What is the common difference? 3.) What are the next three terms? Arithmetic Sequence

4.   Consecutive numbers that share a common ratio ( x, / or exponet )  Example: 1, 3, 9, 27, ….. 1.) Is it a geometric sequence? 2.) What is the common ratio? 3.) What are the next three terms? Geometric Sequence

5.  1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 Pascal's Triangle and Fibonacci Sequence

6.   A conclusion based on specific examples  Example: All the other cars on 81 are passing you even though you are going 75. Inductive Reasoning

7.   A conclusion based on rules and facts  Example: All the other cars on 81 are passing you even though you are going 75. Deductive Reasoning

8.   An equation involving letters  Ex. P = 2w + 2l Formulas

9.   Choose appropriate letters to represent each variable  Use letters to form a formula  Apply formula to solve the problem Steps

10.   Net income is equal to the total revenue from selling an item minus the cost of producing an item. Determine the net income if the total profit is 400,000 and the cost is 156, 800. Example 1

11.   A persons gross income for a year was 65, 000 and their deductions were 12, 860. What was their net pay? Example 2

12.  Example: C = 2 r, for r Try: 1.) V = lwh, for h 2.) A = s 2, for s Solve the Formula for the given Variable

13.   Pg. 17 – 19 # 1 - 10 Class Work