document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933251>Question 933251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the sequence 1/3, 1/3^2, 1/3^3, 1/3^4, 1/3^5,..., find its fifth partial sum and its sixth partial sum. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566705 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each term of <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">1/3, 1/3^2, 1/3^3, 1/3^4, 1/3^5, ...</PRE> is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A%28r%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%2A%28r%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1%2F3 ALIGN=MIDDLE  ALT=\"a+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1%2F3 ALIGN=MIDDLE  ALT=\"r+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Fifth Partial Sum (n = 5)\r<BR>\n" );
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document.write( "The fifth partial sum is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%2F243 ALIGN=MIDDLE  ALT=\"121%2F243\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.49794238683128%0D%0A%0D%0A%0D%0A%0D%0A ALIGN=MIDDLE  ALT=\"0.49794238683128%0D%0A%0D%0A%0D%0A%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > (I'd stick to the exact answer whenever you can)\r<BR>\n" );
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document.write( "Sixth Partial Sum (n = 6)\r<BR>\n" );
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document.write( "The sixth partial sum is exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=364%2F729 ALIGN=MIDDLE  ALT=\"364%2F729\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.49931412894376 ALIGN=MIDDLE  ALT=\"0.49931412894376\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need more one-on-one help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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