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Mathematical Induction - Problem 6

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

One technique used to do proofs in algebra is called "mathematical induction." There are four steps: first, show your equation is true for the case n = 1. Next, we write an assumption that the statement is also true for the kth term. Third, we show that the statement is true for the "k + 1"th term, which means adding one more term, substituting what you had written when you assumed for k, and the simplifying. Finally, showing that the statement is true for "k + 1 " terms is sufficient to prove that it is true for all values of n.

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