document.write( "Question 395408: Hello,
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Algebra.Com's Answer #280610 by Edwin McCravy(20065) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "The other tutor thought of an easier pattern than I saw.  I didn't\r\n" );
document.write( "think of an alternating pattern like that, where you do 1 thing one\r\n" );
document.write( "time and do another thing the next time.  This one is also correct \r\n" );
document.write( "and works.  Actually there are an infinite number of patterns.\r\n" );
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document.write( "Write the numbers in a column:\r\n" );
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document.write( " 1\r\n" );
document.write( " 4\r\n" );
document.write( " 9\r\n" );
document.write( "36\r\n" );
document.write( "41\r\n" );
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document.write( "Subtract each of the first 4 numbers in that column from the one \r\n" );
document.write( "just below it and write the answer to the right of that number:\r\n" );
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document.write( " 1   3\r\n" );
document.write( " 4   5  \r\n" );
document.write( " 9  27 \r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Subtract each of the first 3 numbers in that 2nd column from the one \r\n" );
document.write( "just below it and write the answer to the right of that number:\r\n" );
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document.write( " 1   3   2\r\n" );
document.write( " 4   5  22\r\n" );
document.write( " 9  27 -22\r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Subtract each of the first 2 numbers in that 1st column from the one \r\n" );
document.write( "just below it and write the answer to the right of that number:\r\n" );
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document.write( " 1   3   2  20 \r\n" );
document.write( " 4   5  22 -44 \r\n" );
document.write( " 9  27 -22\r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Subtract the 20 from the -44 just below it, getting -66 and\r\n" );
document.write( "writing that beside the 20:\r\n" );
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document.write( " 1   3   2  20 -66 \r\n" );
document.write( " 4   5  22 -44 \r\n" );
document.write( " 9  27 -22\r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Now write another -66 under that one\r\n" );
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document.write( " 1   3   2  20 -66 \r\n" );
document.write( " 4   5  22 -44 -66\r\n" );
document.write( " 9  27 -22\r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Add the bottom -66 to the -44, getting -110 and write that\r\n" );
document.write( "under the -44\r\n" );
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document.write( " 1   3   2   20 -66 \r\n" );
document.write( " 4   5  22  -44 -66\r\n" );
document.write( " 9  27 -22 -110\r\n" );
document.write( "36   5\r\n" );
document.write( "41\r\n" );
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document.write( "Add the -110 to the -22, getting -132, and write that\r\n" );
document.write( "under the -22\r\n" );
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document.write( " 1   3    2   20 -66 \r\n" );
document.write( " 4   5   22  -44 -66\r\n" );
document.write( " 9  27  -22 -110\r\n" );
document.write( "36   5 -132\r\n" );
document.write( "41\r\n" );
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document.write( "Add the -132 to the 5, getting -127, and write that\r\n" );
document.write( "under the 5.\r\n" );
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document.write( "  1    3    2   20 -66 \r\n" );
document.write( "  4    5   22  -44 -66\r\n" );
document.write( "  9   27  -22 -110\r\n" );
document.write( " 36    5 -132\r\n" );
document.write( " 41 -127\r\n" );
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document.write( "Add the -127 to the 41, getting -86 and write that\r\n" );
document.write( "under the 41\r\n" );
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document.write( "  1    3    2   20 -66 \r\n" );
document.write( "  4    5   22  -44 -66\r\n" );
document.write( "  9   27  -22 -110\r\n" );
document.write( " 36    5 -132\r\n" );
document.write( " 41 -127\r\n" );
document.write( "-86\r\n" );
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document.write( "So the 6th term term is -86\r\n" );
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document.write( "Want a general formula?\r\n" );
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document.write( "Edwin
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