document.write( "Question 995358: find the sum of series 101+99+97+..+47 \n" ); document.write( "
Algebra.Com's Answer #614108 by rothauserc(4718)\"\" \"About 
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101+99+97+..+47
\n" ); document.write( "this is an arithmetic series, the nth term is found by
\n" ); document.write( "Xn = 101 -(2 * (n-1))
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\n" ); document.write( "we need to determine how many terms to sum
\n" ); document.write( "47 = 101 -(2*(n-1))
\n" ); document.write( "47 = 101 -2n +2
\n" ); document.write( "2n = 56
\n" ); document.write( "n = 28
\n" ); document.write( "there are 28 terms to sum
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\n" ); document.write( "sum = (28/2)*(101+47)
\n" ); document.write( "sum = 14 * 148
\n" ); document.write( "sum = 2072\r
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