document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112572>Question 112572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not quite sure what this means...\r<BR>\n" );
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document.write( "Find the sum of the infinite geometric series:<BR>\n" );
document.write( ".8+.08+.008\r<BR>\n" );
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document.write( "PLEASE help! thanks <3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82093 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This infinite series is just another way of saying<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.88888888888 ALIGN=MIDDLE  ALT=\".88888888888\"   DISABLED_style= \"max-width:90%; height:auto;\" >... on and on forever and ever. In the <BR>\n" );
document.write( "problem, they just pulled out each <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so they got<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8+%2B+.08+%2B+.008+%2B+.0008 ALIGN=MIDDLE  ALT=\".8+%2B+.08+%2B+.008+%2B+.0008\"   DISABLED_style= \"max-width:90%; height:auto;\" >... on and on forever<BR>\n" );
document.write( "Believe it or not, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.88888888888 ALIGN=MIDDLE  ALT=\".88888888888\"   DISABLED_style= \"max-width:90%; height:auto;\" >... =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F9 ALIGN=MIDDLE  ALT=\"8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You find it with a little trick.<BR>\n" );
document.write( "First call the repeating decimal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then show what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n ALIGN=MIDDLE  ALT=\"10n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n+=+8.88888888 ALIGN=MIDDLE  ALT=\"10n+=+8.88888888\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+.888888888 ALIGN=MIDDLE  ALT=\"n+=+.888888888\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n ALIGN=MIDDLE  ALT=\"10n\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Everything to the right of the <BR>\n" );
document.write( "decimal points cancel out. I'm left with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9n+=+8 ALIGN=MIDDLE  ALT=\"9n+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+8%2F9 ALIGN=MIDDLE  ALT=\"n+=+8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >answer<BR>\n" );
document.write( "OK, what if you had <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.137137137137137 ALIGN=MIDDLE  ALT=\".137137137137137\"   DISABLED_style= \"max-width:90%; height:auto;\" >... on and on and on?<BR>\n" );
document.write( "What's the value? Use the same trick a little differently<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000n+=+137.137137137137 ALIGN=MIDDLE  ALT=\"1000n+=+137.137137137137\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+.137137137137137 ALIGN=MIDDLE  ALT=\"n+=+.137137137137137\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "now subtract<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=999n+=+137 ALIGN=MIDDLE  ALT=\"999n+=+137\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+137%2F999 ALIGN=MIDDLE  ALT=\"n+=+137%2F999\"   DISABLED_style= \"max-width:90%; height:auto;\" >answer </SPAN>\n" );
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