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Magic constant (Posted on 2005-02-23) Difficulty: 2 of 5
In a magic NxN square, numbers from 1 to Nē are set so the numbers in each row, column, or major diagonal, have the same sum: the "magic constant".

What is the value of this constant, as a function of N?

See The Solution Submitted by e.g.    
Rating: 1.7500 (4 votes)

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Solution Spoiler | Comment 1 of 9
Average term = (1 + N^2)/2

Multiply by N^2 to get the total of all terms, and then divide by N to get an average for one row.

Answer = N*(1 + N^2)/2

  Posted by Steve Herman on 2005-02-23 15:37:47
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