document.write( "Question 1036710: 0,3,8,60,51,62,93,45,?,0,120,440,960 \n" ); document.write( "
Algebra.Com's Answer #651422 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "0,3,8,60,51,62,93,45,?,0,120,440,960 \r\n" ); document.write( "\r\n" ); document.write( "We notice that the first three terms are 1 less than the\r\n" ); document.write( "squares 1²,2²,3², but then we ask: what does 60 have to \r\n" ); document.write( "do with 4²=16? Then it occurs to us that if we reverse\r\n" ); document.write( "the digits of 16 and subtract 1, we get 61-1=60. So we\r\n" ); document.write( "try that scheme. When we \"reverse the single digit\" of a\r\n" ); document.write( "1-digit number we get the same 1-digit number. That's\r\n" ); document.write( "why the first three numbers are the same as 1 less than\r\n" ); document.write( "the squares. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Square 1, get 1\r\n" ); document.write( "Reverse the single digit, get 1\r\n" ); document.write( "Subtract 1, get 0.\r\n" ); document.write( "\r\n" ); document.write( "Square 2, get 4\r\n" ); document.write( "Reverse the single digit, get 4\r\n" ); document.write( "Subtract 1, get 3.\r\n" ); document.write( "\r\n" ); document.write( "Square 3, get 9\r\n" ); document.write( "Reverse the single digit, get 9\r\n" ); document.write( "Subtract 1, get 8.\r\n" ); document.write( "\r\n" ); document.write( "Square 4, get 16\r\n" ); document.write( "Reverse the digits, get 61\r\n" ); document.write( "Subtract 1, get 60.\r\n" ); document.write( "\r\n" ); document.write( "Square 5, get 25\r\n" ); document.write( "Reverse the digits, get 52\r\n" ); document.write( "Subtract 1, get 51.\r\n" ); document.write( "\r\n" ); document.write( "Square 6, get 36\r\n" ); document.write( "Reverse the digits, get 63\r\n" ); document.write( "Subtract 1, get 62.\r\n" ); document.write( "\r\n" ); document.write( "Square 7, get 49\r\n" ); document.write( "Reverse the digits, get 94\r\n" ); document.write( "Subtract 1, get 93.\r\n" ); document.write( "\r\n" ); document.write( "Square 8, get 64\r\n" ); document.write( "Reverse the digits, get 46\r\n" ); document.write( "Subtract 1, get 45.\r\n" ); document.write( "\r\n" ); document.write( "Square 9, get 81\r\n" ); document.write( "Reverse the digits, get 18\r\n" ); document.write( "Subtract 1, get 17. <--- that the answer.\r\n" ); document.write( " But let's keep going\r\n" ); document.write( " as a check.\r\n" ); document.write( "\r\n" ); document.write( "Square 10, get 100\r\n" ); document.write( "Reverse the digits, get 001, or just 1\r\n" ); document.write( "Subtract 1 get 0\r\n" ); document.write( "\r\n" ); document.write( "Square 11, get 121\r\n" ); document.write( "Reverse the digits, get 121\r\n" ); document.write( "Subtract 1 get 120\r\n" ); document.write( "\r\n" ); document.write( "Square 12, get 144\r\n" ); document.write( "Reverse the digits, get 441\r\n" ); document.write( "Subtract 1 get 440\r\n" ); document.write( "\r\n" ); document.write( "Square 13, get 169\r\n" ); document.write( "Reverse the digits, get 961\r\n" ); document.write( "Subtract 1 get 960\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |