Problem 6

Due in DSC 203 by 3 PM, Friday September 29, 2000



It is possible to place positive integers into the vacant twenty-one squares of the $5\times 5$ square shown below so that the numbers in each row and column form arithmetic sequences1 . Find the number that must occupy the vacant square marked by the asterisk ${\bf *}$.




\begin{picture}(250,250) \put(0,0){\line(0,1){250}} \put(0,0){\line(1,0){250}} \... ...170,220){{\bf *}} \put(215,120){{\bf 186}} \put(115,70){{\bf 103}} \end{picture}


Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder


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Last modified:   Fri Sep 22 13:38:07 CDT 2000