document.write( "Question 886373: What is the next number in the sequence: 2 3 4 3 6 7 \n" ); document.write( "
Algebra.Com's Answer #535887 by Edwin McCravy(20056)\"\" \"About 
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document.write( "The answer is 8.  Here's why I say that.\r\n" );
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document.write( "One way to look at it is to take the integers starting with 2:\r\n" );
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document.write( " 2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, ...\r\n" );
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document.write( "and replace the multiples of 5 by 3's\r\n" );
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document.write( " 2,  3,  4,  3,  6,  7,  8,  9,  3, 11, 12, 13, 14,  3, 16, ...\r\n" );
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document.write( "Or it could be 'replace every 4th one by 3'\r\n" );
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document.write( " 2,  3,  4,  3,  6,  7,  8,  3, 10, 11, 12,  3, 14, 15, 16, ...\r\n" );
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document.write( "Or it could be 'replace every 4th number by 1 less than the preceding number:\r\n" );
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document.write( " 2,  3,  4,  3,  6,  7,  8,  7, 10, 11, 12, 11, 14, 15, 16, ...\r\n" );
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document.write( "So there is no way to determine which pattern they follow.  However in every\r\n" );
document.write( "case above the next number after 7 was 8.  So regardless of the pattern, the\r\n" );
document.write( "answer would be 8.\r\n" );
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document.write( "Edwin

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