document.write( "Question 1121964: Given that x, x/2 and x/4 is a geometric progression. Find the sum of the 1st 11 terms of the GP. \n" ); document.write( "
Algebra.Com's Answer #737985 by greenestamps(13209)\"\" \"About 
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\n" ); document.write( "Sum of the first 2 terms:
\n" ); document.write( "x + x/2 = x(1+1/2) = x(2-1/2)

\n" ); document.write( "Sum of the first 3 terms:
\n" ); document.write( "x+x/2+x/4 = x(1+1/2+1/4) = x(2-1/4)

\n" ); document.write( "Sum of the first 4 terms:
\n" ); document.write( "x+x/2+x/4+x/8 = x(1+1/2+1/4+1/8) = x(2-1/8)

\n" ); document.write( "...
\n" ); document.write( "look at the pattern...
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\n" ); document.write( "Sum of the first 11 terms:
\n" ); document.write( "x+x/2+x/4+...+x/2^10 = ... = x(2-1/2^10) = x(2-1/1024) = (2047/1024)x
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