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Proof calculation help

  1. Feb 28, 2007 #1
    1. The problem statement, all variables and given/known data

    Prove algebraically that the sum of the squares of any two odd numbers leaves a remainder of 2 when divided by 4.

    2. Relevant equations


    3. The attempt at a solution

    not really sure what to do so excuse my bad attempt

    where n is an integer:

    (1^2 + 1^2)/4 = n + 2

    thnx for ya help

    as per rules, please only give one step away at a time and explain please :D thnx
  2. jcsd
  3. Feb 28, 2007 #2


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    Can you write me a formula for the nth odd number?
  4. Feb 28, 2007 #3
    You need to replace those 1's with the general form of an odd number. Put all odd numbers in terms of all whole numbers and do the binomial expansion
  5. Mar 1, 2007 #4
    oops yeh i found out i shoulda done 2n-1 lol

    silly me, soz
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