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Discovered this pattern while working on a math problem

  1. Sep 10, 2005 #1
    THERE IS A PATTERN IN SQUARED NUMBERS
    0x0 =0
    +1
    1x1 =1
    +3
    2x2 =4
    +5
    3x3 =9
    +7
    4x4 =16
    +9
    5x5 =25

    I discovered this pattern while working on a math problem my math eacher gave me.
    I thought it is interesting
     
  2. jcsd
  3. Sep 11, 2005 #2
    I believe it was archimedes who first discovered that pattern. The difference of consecutive squares spell out the odd numbers.
     
  4. Sep 11, 2005 #3

    honestrosewater

    User Avatar
    Gold Member

    (x + 1)2 - x2 = x2 + 2x + 1 - x2 = 2x + 1. :smile:
     
  5. Sep 11, 2005 #4
    I never said that I was the first to discover it I just said I discovered it doing math home work.
     
  6. Sep 11, 2005 #5
    So, congratulations? We were just giving you some history and elaboration.
     
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