1. D ESCRIBING N UMBER P ATTERNS

2. K EY T ERMS Inductive Reasoning: Making conclusions based on patterns you observe. Conjecture: A conclusion you reach by inductive reasoning. Use inductive reasoning to describe the pattern, then find the next term in the sequence.

3. U SE INDUCTIVE REASONING TO DESCRIBE THE PATTERN, THEN FIND THE NEXT TERM IN THE SEQUENCE.

6. K EY T ERMS : Arithmetic sequence: Formed by adding a fixed number to each previous term. Common Difference: The fixed number you are adding each time.

7. F IND THE COMMON DIFFERENCE OF EACH ARITHMETIC SEQUENCE :

10. W HEN YOU HAVE A ARITHMETIC SEQUENCE TREAT EACH NUMBER YOU ARE GIVEN AS AN OUTPUT AND EACH TERM NUMBER AS AN INPUT Arithmetic Sequence:

11. T HE OUTPUTS ARE 7, 11, 15, 19 What is the first term? What happened to the first term to get the second? What happened to the first term to get the third? What happened to the first term to get the fourth? What would happen to the first term to get the 10 th ? We can use this information to write a function rule.

12. W RITING THE FUNCTION RULE : A(n) is going to be our function rule. n is the number of the term.