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Mathematical Induction - Problem 6


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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