document.write( "Question 839135: The sequence in this problem has a rule that is different from the rules for an addition sequence or a multiplication sequence. What is the missing number in the sequence?\r
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Algebra.Com's Answer #506126 by Edwin McCravy(20056)\"\" \"About 
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document.write( "1,4,3,6,5,8, ____?\r\n" );
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document.write( "Notice that the odd terms are 1,_,3,_,5,_\r\n" );
document.write( "(and that the even terms are   _,4,_,6,_,8)\r\n" );
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document.write( "The odd terms are the same as the odd terms of the sequence \r\n" );
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document.write( "1,2,3,4,5,6,... which has general term n\r\n" );
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document.write( "Subtracting this sequence term by term from the given sequence:\r\n" );
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document.write( " {1,4,3,6,5,8,...\r\n" );
document.write( "-{1,2,3,4,5,6,...\r\n" );
document.write( "---------------\r\n" );
document.write( "  0,2,0,2,0,2,...\r\n" );
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document.write( "That sequence of differences has general term \"1%2B%28-1%29%5En\"\r\n" );
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document.write( "Since the opposite of the above subtraction is this addition:\r\n" );
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document.write( " {1,2,3,4,5,6,...  which has general term n\r\n" );
document.write( "+{0,2,0,2,0,2,...  which has general term \"%28-1%29%5En%2B1\", so\r\n" );
document.write( "---------------\r\n" );
document.write( "  1,4,3,6,5,8,...  \r\n" );
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document.write( "the given sequence has the general term \"n%2B%28-1%29%5En%2B1\". It goes:\r\n" );
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document.write( "1,4,3,6,5,8,7,10,9,12,11,14,13,...\r\n" );
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document.write( "----------------------------------------\r\n" );
document.write( "Note:\r\n" );
document.write( "You could also look at the given sequence as this sequence but\r\n" );
document.write( "without the first term 2:\r\n" );
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document.write( "2,1,4,3,6,5,8,7,10,9,12,11,14,13,\r\n" );
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document.write( "You start with the sequence \r\n" );
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document.write( "1,2,3,4,5,6,7,8,9,10,11,12,13,14,...\r\n" );
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document.write( "and swap every odd number with the next higher even number. \r\n" );
document.write( "But your sequence doesn't have the 2 as its first term, but \r\n" );
document.write( "starts with the 1 instead.\r\n" );
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document.write( "Edwin
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