Inductive reasoning

Math

Definition

A type of reasoning that draws general conclusions from specific observations or patterns. While inductive reasoning can suggest a conclusion is likely true, it does not guarantee it—a single counterexample can disprove the conclusion.

Examples

  • Observing that 2, 4, 6, 8 are all even and concluding the pattern continues
  • Noticing the sum of angles in several triangles is 180° and generalizing to all triangles
  • Testing several values and conjecturing that n² + n is always even

Related Terms

Conditional statements Two-column proofs

Study This Concept

Practice inductive reasoning with free review games in these units:

Geometry Unit 2: Reasoning and Proof