document.write( "Question 702567: Use expressions for odd integer to confirm the conjecture that the product of two odd integers is an odd integer. \n" ); document.write( "

Algebra.Com's Answer #433042 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let

be the

th odd integer. Let

be the

th odd integer.

and

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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
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