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Homework Help: Magic Squares/Magic Constant

  1. Mar 7, 2010 #1
    1. The problem statement, all variables and given/known data

    a) Show that the magic constant of an nth order normal magic square is n(n^2+1)/2.
    b) Show that the center of a 3x3 must be occupied by the number 5.
    c) Show that in a normal magic square of 3x3 the number 1 can never occur in a corner cell.

    2. Relevant equations

    None needed

    3. The attempt at a solution

    I have no idea where to start.
  2. jcsd
  3. Mar 7, 2010 #2
    For part (a), consider the sum of the numbers in the entire square. How does that relate to the magic constant?

    For (b), try putting 1 in the center and see if you can tell why it doesn't work. Generalize.

    Part (c) has a similar reason. Go ahead and put the 1 in a corner and see if you can get the three rows touching it to add up.
    Last edited: Mar 7, 2010
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