document.write( "Question 74007: \n" ); document.write( "

Algebra.Com's Answer #53034 by jim_thompson5910(35256) $\"\"$ $\"About$

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The ratio r is the factor to get from term to term. So
\n" ); document.write( "r=nth term/(n-1) term
\n" ); document.write( " $\"r=8%2F4=2\"$
\n" ); document.write( " $\"r=2\"$
\n" ); document.write( "The sequence doubles each term, so the sequence is $\"2%5En\"$
\n" ); document.write( "So the 24th term is
\n" ); document.write( " $\"2%5E23=8388608\"$ (n=23 zero is the 1st term)
\n" ); document.write( "The sum of a geometric series is
\n" ); document.write( " $\"S=a%281-r%5En%29%2F%281-r%29\"$ where a=1
\n" ); document.write( " $\"S=%281-2%5E10%29%2F%281-2%29\"$
\n" ); document.write( " $\"S=%281-1024%29%2F%28-1%29\"$
\n" ); document.write( " $\"S=1023\"$
\n" ); document.write( "So the sum of the first ten terms is 1,023 \n" ); document.write( "

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