document.write( "Question 1197291: Construct a 5 x 5 Magic Square, starting with number 5 and with a common difference of 4 \n" ); document.write( "
Algebra.Com's Answer #830651 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Start with the easy 5 x 5 magic square, where the sum of the numbers on each\r\n" ); document.write( "row, column, and diagonal is 15.\r\n" ); document.write( "\r\n" ); document.write( "1 2 3 4 5\r\n" ); document.write( "3 4 5 1 2\r\n" ); document.write( "5 1 2 3 4\r\n" ); document.write( "2 3 4 5 1\r\n" ); document.write( "4 5 1 2 3\r\n" ); document.write( "\r\n" ); document.write( "You want the top row to become 5 9 13 17 21, with difference 4 and beginning\r\n" ); document.write( "with 5.\r\n" ); document.write( "\r\n" ); document.write( "So replace every 1,2,3,4,5, respectively, by 5,9,13,17,21, respectively.\r\n" ); document.write( "\r\n" ); document.write( " 5 9 13 17 21\r\n" ); document.write( "13 17 21 5 9\r\n" ); document.write( "21 5 9 13 17\r\n" ); document.write( " 9 13 17 21 5\r\n" ); document.write( "17 21 5 9 13\r\n" ); document.write( "\r\n" ); document.write( "Now the top row is an arithmetic sequence with first term 5 and difference 4.\r\n" ); document.write( "The sum of the numbers on each row, column, and diagonal is 65. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |