|Mar7-10, 09:18 PM||#1|
Magic Squares/Magic Constant
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
3. The attempt at a solution
I have no idea where to start.
|Mar7-10, 10:03 PM||#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.
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