document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098493>Question 1098493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the geometric series\r<BR>\n" );
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document.write( "1+1/3+4/9+8/9+... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712855 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F3%2B4%2F9%2B8%2F9%2B%22...%22 ALIGN=MIDDLE  ALT=\"1%2B1%2F3%2B4%2F9%2B8%2F9%2B%22...%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not exactly a geometric series<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22 ALIGN=MIDDLE  ALT=\"1%2B2%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a geometric series<BR>\n" );
document.write( "with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1 ALIGN=MIDDLE  ALT=\"b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and common ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2%2F3 ALIGN=MIDDLE  ALT=\"r=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For any geometric series with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%3C1 ALIGN=MIDDLE  ALT=\"r%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the sum to infinity can be calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=b%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S=b%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2%2F3%2B4%2F9%2B8%2F9%2B%22...%22=1%2F%281-2%2F3%29=1%2F%281%2F3%29=3 ALIGN=MIDDLE  ALT=\"1%2B2%2F3%2B4%2F9%2B8%2F9%2B%22...%22=1%2F%281-2%2F3%29=1%2F%281%2F3%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If what you really want to calculate is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22=%28-1%2F3%29%2B%281%2B2%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22=%28-1%2F3%29%2B3=2%262%2F3=8%2F3 ALIGN=MIDDLE  ALT=\"1%2B1%2F3%2B4%2F9%2B8%2F9%2B16%2F27%2B32%2F81%2B%22...%22=%28-1%2F3%29%2B3=2%262%2F3=8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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