Inductive Reasoning and Conjectures Explained

Reasoning based on specific examples to make a general prediction.

Reasoning that guarantees logical certainty.

Reasoning based on mathematical proofs.

Reasoning that uses only one example to make a prediction.

A random guess without any basis.

A statement that is always true.

An educated guess based on known information.

A proven mathematical theorem.

720

1440

960

1200

Multiplying by 2 each time

Adding 6 each time

Adding 3 each time

Multiplying by 3 each time

36

30

42

24

Always a fraction

Always a whole number

Always odd

Always even

They form a right angle.

They are equidistant.

They form a triangle.

They are collinear.

$6000

$13500

$18000

$9000

An example that supports a conjecture.

An example that shows a statement is not always true.

An example that proves a statement is always true.

An example that is irrelevant to the conjecture.

Houston

El Paso

Cameron

Maverick