Question: PROBLEM 1. [points:20] Using mathematical induction prove that n3- n is divisible by 6 for any non-negative integer n. Hint: follow 3 steps of math

PROBLEM 1. [points:20] Using mathematical induction prove that n3- n is

PROBLEM 1. [points:20] Using mathematical induction prove that n3- n is divisible by 6 for any non-negative integer n. Hint: follow 3 steps of math induction. Also use your knowledge of how to prove things - what does it mean to be divisible by 6? 1.Basis step. [points: 5] 2. Inductive hypothesis. [points: 5] 3. Proof. [points: 10]

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