Math work

  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. micromass

    micromass 19,230
    Staff Emeritus
    Science Advisor
    Education Advisor

    Well, what did you try already??? If we know where you're stuck, then we'll know where to help...
     
  4. 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. (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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