document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304621>Question 304621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose an indecisive man starts out from home and walks 1 mi east,then 1/2 mi west, then 1/4 mi east, then 1/8 mi west, and so on. Relative to his home, approximately where would he end up?\r<BR>\n" );
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document.write( "I have no clue..please help.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218111 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose an indecisive man starts out from home and walks 1 mi east,then 1/2 mi west, then 1/4 mi east, then 1/8 mi west, and so on. Relative to his home, approximately where would he end up?<BR>\n" );
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document.write( "Total lateral distance: 1-(1/2)+(1/4)-(1/8)+(1/16)-(1/32)....<BR>\n" );
document.write( "= [1 + 1/4 + 1/16 + 1/64... ] - [1/2 + 1/8 + 1/32]<BR>\n" );
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document.write( "Using the sum of a geometric series you get:<BR>\n" );
document.write( "= (1)[1/(1-(1/4)] - (1/2)[1-(1/4)]<BR>\n" );
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document.write( "= 1/(3/4) - (1/2)/(3/4)<BR>\n" );
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document.write( "= 4/3 - 2/3<BR>\n" );
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document.write( "= 2/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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