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Question: a divide 52 72 112 and 272 by 8 and...

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(a) Divide 52, 72, 112, and 272 by 8 and note the remainder in each case. (b) Formulate a conjecture about the remainder when the square of an odd integer is 2. divided by S. (c) Prove your conjecture. (It may help to first show that an odd integer may be written as one of 4k + 1 or 4k +3 for some k.)
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