document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013967>Question 1013967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of this infinite geometric series 1-1/3+1/9-... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630288 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52791)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "What is the sum of this infinite geometric series &nbsp;1 - 1/3 + 1/9 - . . . <BR>\n" );
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document.write( "The first term is &nbsp;1.<BR>\n" );
document.write( "The common ratio is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now apply the formula for the sum of an infinite geometric progression with the first term &nbsp;a&nbsp; and the common ratio &nbsp;r, &nbsp;|r| < 1 :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%281-r%29 ALIGN=MIDDLE  ALT=\"a%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, &nbsp;in our case\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%281-%28-1%2F3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%281-%28-1%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%284%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%284%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4%29 ALIGN=MIDDLE  ALT=\"3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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