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) You can put this solution on YOUR website! \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... \n" ); document.write( "... \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 \n" ); document.write( " \n" ); document.write( " |