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

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24-08-2014
Mathematics

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

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pepe11 pepe11 · Answer 1 · 2014-08-25T10:54:20-04:00

pepe11 pepe11

25-08-2014

2n + 1 et 2n + 3 are two odd integers with n integer
(2n+1)(2n+3) = 4n² + 8n + 3 =2(4n² + 4n) + 3
2(4n² + 4n) is an even integer so 2(4n² + 4n) + 3 is an odd number
because the sum of an even number and an odd number is an odd number.

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