Use Theorem 5.2.2 to prove that if m and n are any positive integers and m is odd, then
Chapter 5, Problem 36(choose chapter or problem)
Use Theorem 5.2.2 to prove that if m and n are any positive integers and m is odd, then \(\sum_{k=0}^{m-1}(n+k)\) is divisible by m. Does the conclusion hold if m is even? Justify your answer.
Text Transcription:
sum_k=0^m-1(n+k)
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