document.write( "Question 1201544: 1/2 +1/8 +1/32 +...+1/2^2n-1
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Algebra.Com's Answer #835971 by ikleyn(52788)\"\" \"About 
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document.write( "You have a geometric progression with the 1st term a = 1/2 and the common ratio r = 1/4.\r\n" );
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document.write( "The general formula for the sum of such progression is  S = \"a%2F%281-r%29\",  provided |r| < 1.\r\n" );
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document.write( "Substituting a = 1/2, r = 1/4 into the formula, you get the answer to your question\r\n" );
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document.write( "    the sum = S = \"%28%281%2F2%29%29%2F%28%281-1%2F4%29%29\" = \"%28%281%2F2%29%29%2F%28%283%2F4%29%29\" = \"4%2F%282%2A3%29\" = \"2%2F3\".\r\n" );
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