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Math work

  1. Sep 12, 2011 #1
    show that the square of any odd integer is odd, use this fact to justify the statement "if p2
    is even , then p is also even
     
  2. jcsd
  3. Sep 12, 2011 #2
    Well, what did you try already??? If we know where you're stuck, then we'll know where to help...
     
  4. Sep 12, 2011 #3
    A good first step is noticing that

    ...
    -5 = 2*(-3) + 1
    -3 = 2*(-2) + 1
    -1 = 2*(-1) + 1
    1 = 2*0 + 1
    3 = 2*1 + 1
    5 = 2*2 + 1
    ...
     
  5. Sep 12, 2011 #4
    (2x+1) is odd. (2x+1)^2=4x^2+4x+1 but 4x^2+4x is even and even +1 gives odd.
    So (2x+1)^2 is odd
     
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