Sullivan Algebra and Trigonometry: Section 13.4

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Sullivan Algebra and Trigonometry: Section 13.4 Objectives of this Section Prove Statements Using Mathematical Induction

Theorem The Principle of Mathematical Induction Suppose the following two conditions are satisfied with regard to a statement about natural numbers: CONDITION I: The statement is true for the natural number 1. CONDITION II: If the statement is true for some natural number k, it is also true for the next natural number k + 1. Then the statement is true for all natural numbers.

CONDITION I: Show true for n = 1 CONDITION II: Assume true for some number k, determine whether true for k + 1.