1. 2.1 Patterns and Inductive Reasoning

2. Inductive Reasoning is reasoning based on patterns that you observe.
Basically it is a conclusion or statement that you can make with confidence because of previous patterns that you have investigated.
A conjecture is the conclusion that you make through inductive reasoning.

6. Counterexample
A counterexample is an example that shows that conjecture is false or incorrect.
For example: If the ground is wet, then it is raining.
One could find several examples that would make this conjecture incorrect.

8. Homework
Section 2.1 in MathXL