document.write( "Question 210973: please help me solve this: a. every whole number greater thsn 4 and less than 20 is the sum of two or more consecutive whole numbers.
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Algebra.Com's Answer #159479 by Edwin McCravy(20056) $\"\"$ $\"About$

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please help me solve this: a. every whole number greater thsn 4 and less than 20 is the sum of two or more consecutive whole numbers.
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document.write( "a. every whole number greater thsn 4 and less than\r\n" );
document.write( "   20 is the sum of two or more consecutive whole \r\n" );
document.write( "   numbers.\r\n" );
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document.write( "The correct answer is that it is false because 8 cannot \r\n" );
document.write( "be written that way.\r\n" );
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document.write( "8 can't be the sum of two consecutive integers because\r\n" );
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document.write( "1+2=3, 2+3=5, 3+4=7, 4+5=9, every other pair of consecutive\r\n" );
document.write( "integers will exceed 8\r\n" );
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document.write( "8 can't be the sum of three consecutive integers because\r\n" );
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document.write( "1+2+3=6, 2+3+4=9, every other group of 3 consecutive ingers \r\n" );
document.write( "will exceed 8\r\n" );
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document.write( "8 can't be the sum of four consecutive integers because\r\n" );
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document.write( "1+2+3+4=10, and every other group of 4 consecutive ingers \r\n" );
document.write( "will exceed 8\r\n" );
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document.write( "And of course there is no use to try 5 or more consecutive \r\n" );
document.write( "integers because even the smallest group of 4 have sum \r\n" );
document.write( "greater than 8.\r\n" );
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document.write( "Therefore it is false because not every whole number greater \r\n" );
document.write( "than 4 and less than 20 is the sum of two or more consecutive \r\n" );
document.write( "numbers.  8 is a counter-example.\r\n" );
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\n" ); document.write( "b. every whole number between 25 and 50 is the product of two whole numbers greater than 1.
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document.write( "That is false because 29 is a prime number between \r\n" );
document.write( "25 and 50 and 29 can only be written as a product \r\n" );
document.write( "of two whole numbers, 29x1.\r\n" );
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document.write( "Edwin

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