document.write( "Question 1143616: I need to create a sequence using this rule: \"Adding 3 then subtracting 4\" Give five possible answers for the sequence \n" ); document.write( "
Algebra.Com's Answer #764477 by Edwin McCravy(20056)\"\" \"About 
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document.write( "We arbitrarily select a number as the first number.\r\n" );
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document.write( "Let's arbitrarily select the number 7 as the first number.\r\n" );
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document.write( "We add 3 to the 1st number 7 and get 10.\r\n" );
document.write( "We subtract 4 from 10 and get 6.\r\n" );
document.write( "So the 2nd number is 6.\r\n" );
document.write( "So far we have the first 2 terms of the sequence 7,6\r\n" );
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document.write( "We add 3 to the 2nd number 6 and get 9.\r\n" );
document.write( "We subtract 4 from 9 and get 5.\r\n" );
document.write( "So the 3rd number is 5.\r\n" );
document.write( "So far we have the first 3 terms of the sequence 7,6,5\r\n" );
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document.write( "We add 3 to the 3rd number 5 and get 8.\r\n" );
document.write( "We subtract 4 from 8 and get 4.\r\n" );
document.write( "So the 4th number is 4.\r\n" );
document.write( "So far we have the first 4 terms of the sequence 7,6,5,4\r\n" );
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document.write( "We add 3 to the 4th number 4 and get 7.\r\n" );
document.write( "We subtract 4 from 7 and get 3.\r\n" );
document.write( "So the 5th number is 3.\r\n" );
document.write( "So far we have the first 5 terms of the sequence 7,6,6,4,3\r\n" );
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document.write( "So now we see that the next term is always 1 less than the preceding\r\n" );
document.write( "term.  Why is that?\r\n" );
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document.write( "It's because adding 3 then subtracting 4 is the same as\r\n" );
document.write( "subtracting 1.\r\n" );
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document.write( "So other sequences that subtract 1 each time are\r\n" );
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document.write( "6,5,4,3,2,1,0,...\r\n" );
document.write( "10,9,8,7,6,5,...\r\n" );
document.write( "3,2,1,0,-1,-2,...\r\n" );
document.write( "-8,-9,-10,-11,-12,-13,...\r\n" );
document.write( "0,-1,-2,-3,-4,-5,-6,...\r\n" );
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document.write( "Edwin
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