Question: 4. For any integer n, prove that n must be one of the forms 8k, 8k + 1, 8k +2, 8k + 3,8k + 4,

4. For any integer n, prove that n must be one of the forms 8k, 8k + 1, 8k +2, 8k + 3,8k + 4, 8k +5, 8k +6, or 8k + 7, where k Z. Hence, prove that the square of any odd integer is of the form 8t+ 1 for some integer t

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