1.1: patterns and inductive reasoning

Question 1

Inductive Reasoning

Answer 1

is a reason that is based on patterns you observe. If you observe a pattern in a sequence you can use inductive reasoning to tell what the next terms in a sentence will be.

Question 2

Conjecture

Answer 2

A conclusion you reach using inductive reasoning is called a conjecture.

Question 3

Counterexample

Answer 3

Not all conjectures turn out to be true. You can prove that a conjecture is false by finding one counterexample. A counterexample to a conjecture is an example for which the conjecture is incorrect.