document.write( "Question 1044221: Use gauss approach to find the sum of 2+4+6+...+100 \n" ); document.write( "
Algebra.Com's Answer #659495 by Edwin McCravy(20055)\"\" \"About 
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document.write( "2+4+6+8+10+12+14+...+96+98+100\r\n" );
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document.write( "That has 50 terms, because the sequence of one-half the terms \r\n" );
document.write( "of that series makes the sequence 1,2,3,4,...,48,49,50\r\n" );
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document.write( "Gauss would add those 50 numbers in pairs - the first and the \r\n" );
document.write( "last, the second and the second to last and so on, observing \r\n" );
document.write( "that 2+100=102, 4+98=102, 6+96=102, ...\r\n" );
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document.write( "50 terms amounts to 25 pairs of terms,\r\n" );
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document.write( "so the total would be 25 lots of 102, which is 2550.\r\n" );
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document.write( "Edwin
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