Identify the mistakes, if any, with the following “proof” by…

Written by Anonymous on March 22, 2026 in Uncategorized with no comments.

Questions

Identify the mistаkes, if аny, with the fоllоwing "prоof" by strong induction. "Theorem" For every nonnegаtive integer n, 5n = 0. Basis Step: 5 ⋅ 0 = 0. Inductive Step: Suppose that 5j = 0 for all nonnegative integers j with 0 ≤ j ≤ k. Write k + 1 = i + j, where i and j are natural numbers less than k + 1. By the inductive hypothesis, 5(k + 1) = 5(i + j) = 5i + 5j = 0 + 0 = 0.

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