Lesson 2.1 Inductive Reasoning and Conjectures

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general rule or conclusion is derived from specific examples or patterns.

Front

What is a conjecture?

Back

A conjecture is a statement or proposition that is believed to be true based on observations but has not yet been proven.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

How do you identify a pattern in a sequence?

Back

To identify a pattern, look for a consistent rule that describes how the numbers change from one term to the next.

Front

What is the rule for the sequence 65, 62, 59, 56, 53, 50?

Back

The rule is to subtract 3 from each term to get the next term.

Front

What is the product of two even numbers?

Back

The product of two even numbers is always even.

Front

What is the sum of two even numbers?

Back

The sum of two even numbers is always even.

Front

What is the product of two odd numbers?

Back

The product of two odd numbers is always odd.

Front

What is the sum of two odd numbers?

Back

The sum of two odd numbers is always even.

Front

Complete the conjecture: The sum of two negative numbers is ___________.

Back

negative.