• Unit 5: Mathematical Induction

    In this unit, you will prove propositions about an infinite set of positive integers. Mathematical induction is a technique used to formulate all such proofs. The term recursion refers to a method of defining sequences of numbers, functions, and other objects. The term mathematical induction refers to a method of proving properties of such recursively defined objects.

    Completing this unit should take you approximately 4 hours.

    • 5.1: Mathematical Induction Is Equivalent to the Well-Ordering Property of N

    • 5.2: Proofs of Summations and Products

        • 5.2.1: Sums and Products

        • 5.2.2: Divisibility

        • 5.2.3: Recursively Defined Functions

      • Unit 5 Assessment

        • Receive a grade