Inductive Reasoning and Conjecture

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn 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

How do you extend a pattern?

Back

To extend a pattern, identify the rule governing the pattern and apply it to predict future elements.

Front

What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.

Front

What is the difference between interior and exterior angles?

Back

Interior angles are the angles inside a polygon, while exterior angles are formed by extending one side of the polygon.

Front

How can you make a conjecture based on data?

Back

Analyze the data for trends or patterns and formulate a conjecture that explains the observed behavior.

Front

What is a counterexample?

Back

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

Front

What is the next term in the sequence: 2, 4, 6, 8?

Back

The next term is 10.

Front

If a pattern increases by 3 each time, what is the 5th term starting from 1?

Back

The 5th term is 13.

Front

What is the formula for the sum of interior angles of a polygon?

Back

The formula is (n-2) * 180, where n is the number of sides.