document.write( "Question 449260: May I get someone to show me a good example of a sequence of numbers and series and how to sum them up? \n" ); document.write( "
Algebra.Com's Answer #309076 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "How about the sequence of integers from 1 through 99.\r\n" );
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document.write( "1, 2, 3, ... , 97, 98, 99\r\n" );
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document.write( "To sum this sequence, let that sum be S,\r\n" );
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document.write( " S =   1 +   2 +   3 + ... +  97 +  98 +  99\r\n" );
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document.write( "Then write the same sum in reverse order underneath it,\r\n" );
document.write( "and add the two equations:\r\n" );
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document.write( " S =   1 +   2 +   3 + ... +  97 +  98 +  99\r\n" );
document.write( " S =  99 +  98    97 + ... +   3 +   2 +   1 \r\n" );
document.write( "--------------------------------------------\r\n" );
document.write( "2S = 100 + 100 + 100 + ... + 100 + 100 + 100\r\n" );
document.write( "2S = 99*100\r\n" );
document.write( "2S = 9900\r\n" );
document.write( " S = 4950\r\n" );
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document.write( "So the sum of the integers from 1 through 99 is 4950.\r\n" );
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document.write( "Edwin
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