document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328453>Question 328453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum of the series 5/13 + 55/(13)^2 + 555/(13)^3 + ... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235265 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is kind of tricky trying to set up a general form for 5,55,555,....\r<BR>\n" );
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document.write( "We can think of the numerators: 5,55,555,5555,...., as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F9%29%2810%5En-1%29 ALIGN=MIDDLE  ALT=\"%285%2F9%29%2810%5En-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, this gives us a general form of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F9%29%2Asum%28%2810%5En-1%29%2F13%5En%2Cn=1%2Cinfinity%29 ALIGN=MIDDLE  ALT=\"%285%2F9%29%2Asum%28%2810%5En-1%29%2F13%5En%2Cn=1%2Cinfinity%29\"   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=5%2F9%2A%28sum%28%2810%2F13%29%5En%2Cn=1%2Cinfinity%29-sum%28%281%2F13%29%5En%2Cn=1%2Cinfinity%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the formula for the sum of an infinite series we get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2F13%29%2F%281-10%2F13%29=10%2F3 ALIGN=MIDDLE  ALT=\"%2810%2F13%29%2F%281-10%2F13%29=10%2F3\"   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=%281%2F13%29%2F%281-1%2F13%29=1%2F12 ALIGN=MIDDLE  ALT=\"%281%2F13%29%2F%281-1%2F13%29=1%2F12\"   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=5%2F9%2A%2810%2F3-1%2F12%29=65%2F36 ALIGN=MIDDLE  ALT=\"5%2F9%2A%2810%2F3-1%2F12%29=65%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The sum is 65/36 </SPAN>\n" );
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