Magic Squares/Magic Constant

imprank6

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.

Tinyboss

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.