Question: Microsoft Word - MAT 299 Final Project Document (2).docx 14. Suppose n Z. Prove that (n+1)^3 n^3 1 is divisible by 6 for every n.

Microsoft Word - MAT 299 Final Project Document (2).docx

14. Suppose n Z.

  1. Prove that (n+1)^3 n^3 1 is divisible by 6 for every n.
  2. Show that it is false that (n+1^)3 n^3 1 is divisible by 12 for every n.

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