document.write( "Question 826123: Calculation of the following:\r
\n" ); document.write( "\n" ); document.write( "1+2+3+4....+97+98+99+100\r
\n" ); document.write( "\n" ); document.write( "I tried an arithmetic sequence a=1(100-1)1 but it wont work.
\n" ); document.write( "

Algebra.Com's Answer #497874 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Calculation of the following:\r
\n" ); document.write( "\n" ); document.write( "1+2+3+4....+97+98+99+100\r
\n" ); document.write( "\n" ); document.write( "I tried an arithmetic sequence a=1(100-1)1 but it wont work.\r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "I take it you're trying to sum all integers from 1 to 100, inclusive, with a difference of 1 between terms.\r
\n" ); document.write( "\n" ); document.write( "Number of terms (n)in the series: 100\r
\n" ); document.write( "\n" ); document.write( "The formula for the sum of a sequence, when the 1st and last terms, the number of terms in the series,
\n" ); document.write( "as well as the common difference, are known is: \"S%5Bn%5D+=+n%28a%5B1%5D+%2B+a%5Bn%5D%29%2F2\"
\n" ); document.write( "Sum of sequence: \"S%5Bn%5D\"
\n" ); document.write( "Number of terms in series: \"100\"
\n" ); document.write( "First term in sequence, or \"a%5B1%5D\": \"1\"
\n" ); document.write( "Last term in sequence, or \"a%5Bn%5D\": \"100\" \r
\n" ); document.write( "\n" ); document.write( "\"S%5Bn%5D+=+n%28a%5B1%5D+%2B+a%5Bn%5D%29%2F2\" now becomes: \"S%5B100%5D+=+100%281+%2B+100%29%2F2\"
\n" ); document.write( "\"S%5B100%5D+=+100%28101%29%2F2\"
\n" ); document.write( "\"S%5B100%5D+=+50cross%28100%29%28101%29%2Fcross%282%29\"
\n" ); document.write( "The sum of the 1st 100 POSITIVE INTEGERS is: 50(101), or \"highlight_green%285050%29\"
\n" ); document.write( "You can do the check!! \r
\n" ); document.write( "\n" ); document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. \r
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