2.1 Patterns and Inductive Reasoning
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.
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.
Homework Section 2.1 in MathXL