SOLUTION: Use expressions for odd integer to confirm the conjecture that the product of two odd integers is an odd integer.
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
Let 
be the 
th odd integer. Let 
be the 
th odd integer. 
and 
(2n\ -\ 1)\ =\ 4mn\ -\ 2m\ -\ 2n\ +\ 1)
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
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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