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if n is a member of a set of positive integers, and n is odd, prove 8|(n^2-1)
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Binomial Theorem
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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See this thread: http://www.mathisfunforum.com/viewtopic.php?id=6284. (You want the solution to my Exercise #2: Prove that the product two consecutive even numbers is divisible by 8.)
PS: Binomial Theorem?!?!
Last edited by JaneFairfax (2008-04-13 06:48:05)
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Ah, misread the question. Simply expand on (2k+1)^2, and then all you need to do is prove k(k+1) is even.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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