document.write( "Question 602994: complete the series 10, 18, 40, 78, 112,? \n" ); document.write( "
Algebra.Com's Answer #380522 by AnlytcPhil(1806)\"\" \"About 
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document.write( "List them in a vertical column:\r\n" );
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document.write( " 10 \r\n" );
document.write( " 18 \r\n" );
document.write( " 40 \r\n" );
document.write( " 78 \r\n" );
document.write( "112\r\n" );
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document.write( "Form a second column in this fashion:\r\n" );
document.write( "To the right of each number in the 1st column \r\n" );
document.write( "except the bottom one, subtract it from the number\r\n" );
document.write( "just beneath it:\r\n" );
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document.write( " 10   8  \r\n" );
document.write( " 18  22 \r\n" );
document.write( " 40  38\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "Form a third column in this fashion:\r\n" );
document.write( "To the right of each number in the 2nd column \r\n" );
document.write( "except the bottom one, subtract it from the number\r\n" );
document.write( "just beneath it:\r\n" );
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document.write( " 10   8  14\r\n" );
document.write( " 18  22  16\r\n" );
document.write( " 40  38  -4\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "Form a fourth column in this fashion:\r\n" );
document.write( "To the right of each number in the 3rd column \r\n" );
document.write( "except the bottom one, subtract it from the number\r\n" );
document.write( "just beneath it:\r\n" );
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document.write( " 10   8  14   2\r\n" );
document.write( " 18  22  16 -20 \r\n" );
document.write( " 40  38  -4\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "The fifth column will consist of only one number,\r\n" );
document.write( "-20 - 2 = -22\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20 \r\n" );
document.write( " 40  38  -4\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "Next duplicate the -22 just below the -22\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20  -22 \r\n" );
document.write( " 40  38  -4\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "Now work backwards to place a new number at the bottom\r\n" );
document.write( "of each column so that the difference between it and the\r\n" );
document.write( "number just above it will be the number just to the right\r\n" );
document.write( "of the one above it.  That will amount to adding it to\r\n" );
document.write( "the number just left of it and placing the result below\r\n" );
document.write( "that number.  So we begin by adding -22 to -20,\r\n" );
document.write( "getting -42 and writing this at the bottom of the 4th column\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20  -22 \r\n" );
document.write( " 40  38  -4 -42\r\n" );
document.write( " 78  34\r\n" );
document.write( "112\r\n" );
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document.write( "Next we add -42 to -4, getting -46 and we write this at the \r\n" );
document.write( "bottom of the 3rd column:\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20  -22 \r\n" );
document.write( " 40  38  -4 -42\r\n" );
document.write( " 78  34 -46\r\n" );
document.write( "112\r\n" );
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document.write( "Next we add -46 to 34, getting -12 and we write this at the \r\n" );
document.write( "bottom of the 2nd column:\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20  -22 \r\n" );
document.write( " 40  38  -4 -42\r\n" );
document.write( " 78  34 -46\r\n" );
document.write( "112 -12\r\n" );
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document.write( "Finally we add -12 to 112, getting 100 and we write this at the \r\n" );
document.write( "bottom of the 1st column:\r\n" );
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document.write( " 10   8  14   2  -22\r\n" );
document.write( " 18  22  16 -20  -22 \r\n" );
document.write( " 40  38  -4 -42\r\n" );
document.write( " 78  34 -46\r\n" );
document.write( "112 -12\r\n" );
document.write( "100\r\n" );
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document.write( "So the next term is 100.  The sequence goes:\r\n" );
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document.write( "10, 18, 40, 78, 112, 100\r\n" );
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document.write( "Edwin
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