SOLUTION: Use expressions for odd integer to confirm the conjecture that the product of two odd integers is an odd integer.

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Question 702567: Use expressions for odd integer to confirm the conjecture that the product of two odd integers is an odd integer.
Answer by solver91311(24713) About Me  (Show Source):
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Let be the th odd integer. Let be the th odd integer. and



Each of the terms except the last is evenly divisible by 2, so the entire expression has a remainder of 1 when divided by 2. Ergo, it is odd.

John

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