document.write( "Question 612432: Determine whether or not the following sequences are arithmetic s.If yes state the common difference.\r
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Algebra.Com's Answer #385466 by Edwin McCravy(20056) $\"\"$ $\"About$

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Determine whether or not the following sequences are arithmetic s.If yes state the common difference.
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document.write( "5,-5,-15,-25,-35,...\r\n" );
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document.write( "Subtract the 2nd term minus the 1st term = (-5)-(5) = -5-5 = -10\r\n" );
document.write( "Subtract the 3rd term minus the 2nd term = (-15)-(-5) = -15+5 = -10\r\n" );
document.write( "Subtract the 4th term minus the 3rd term = (-25)-(-15) = -25+15 = -10\r\n" );
document.write( "Subtract the 5th term minus the 4th term = (-35)-(-25) = -35+25 = -10\r\n" );
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document.write( "Yes it is an arithmetic sequence because all those differences are the \r\n" );
document.write( "same; therefore the common difference is -10 \r\n" );
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document.write( "1,2,4,7,11,...\r\n" );
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document.write( "Subtract the 2nd term minus the 1st term = (2)-(1) = 1\r\n" );
document.write( "Subtract the 3rd term minus the 2nd term = (4)-(2) = 2\r\n" );
document.write( "Subtract the 4th term minus the 3rd term = (7)-(4) = 3\r\n" );
document.write( "Subtract the 5th term minus the 4th term = (11)-(7) = 4\r\n" );
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document.write( "No it is not an arithmetic sequence, because these difference are not \r\n" );
document.write( "all the same.  So there is no common difference (Note: We could have \r\n" );
document.write( "stopped when we found that the 2 was not the same as the 1).\r\n" );
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document.write( "Edwin

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