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#1 2008-04-13 06:07:23
- chetah
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- Registered: 2008-02-15
- Posts: 32
Discrete Maths [Proves]
if n is a member of a set of positive integers, and n is odd, prove 8|(n^2-1)
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#2 2008-04-13 06:45:54
- Ricky
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- Registered: 2005-12-04
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Re: Discrete Maths [Proves]
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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#3 2008-04-13 06:47:28
- JaneFairfax
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- Registered: 2007-02-23
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Re: Discrete Maths [Proves]
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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#4 2008-04-13 07:16:29
- Ricky
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- Registered: 2005-12-04
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Re: Discrete Maths [Proves]
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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