document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184309>Question 1184309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If S is sum of infinite geometric series with first term k and common ratio is k/(k+1) with condition k > 0 then find the value of series <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%29%5Ek%2FS+ ALIGN=MIDDLE  ALT=\"+%28-1%29%5Ek%2FS+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where k is from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+to+inf+ ALIGN=MIDDLE  ALT=\"+1+to+inf+\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814844 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let k = 1, 2, 3, 4, 5, ...\r<BR>\n" );
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document.write( "Then for an infinite geometric series with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B1%5D+=+k ALIGN=MIDDLE  ALT=\"g%5B1%5D+=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+k%2F%28k%2B1%29+%3C1 ALIGN=MIDDLE  ALT=\"r+=+k%2F%28k%2B1%29+%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28r%29+%3C+1 ALIGN=MIDDLE  ALT=\"abs%28r%29+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+g%5B1%5D%2F%281-r%29+=+k%2F%281-k%2F%28k%2B1%29%29+=+k%2F%281%2F%28k%2B1%29%29+=+k%28k%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28k-%3Einfinity%2C+%28-1%29%5Ek%2FS%29+=lim%28k-%3Einfinity%2C+%28-1%29%5Ek%2F%28k%28k%2B1%29%29%29+=+highlight%280%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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