document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197507>Question 1197507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum to infinity of the following: 16, 12, 9, 27/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830805 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a geometric series, the n-th partial sum is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S%5Bn%5D+=+a%5B1%5D%2A%28%281-r%5En%29%2F%281-r%29%29+ ALIGN=MIDDLE  ALT=\"+S%5Bn%5D+=+a%5B1%5D%2A%28%281-r%5En%29%2F%281-r%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This problem presents a geometric sequence with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+16 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3%2F4 ALIGN=MIDDLE  ALT=\"r=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The infinite sum exists because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28r%29%3C1 ALIGN=MIDDLE  ALT=\"abs%28r%29%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and is the limit of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D ALIGN=MIDDLE  ALT=\"S%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > as n goes to infinity:\r<BR>\n" );
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document.write( "Using \"Lim\" to denote \"Limit as n goes to infinity\":\r<BR>\n" );
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document.write( " Lim (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S%5Bn%5D+ ALIGN=MIDDLE  ALT=\"+S%5Bn%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >) =  Lim (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16%2A%281-%283%2F4%29%5En%29%2F%281-%283%2F4%29%29+ ALIGN=MIDDLE  ALT=\"+16%2A%281-%283%2F4%29%5En%29%2F%281-%283%2F4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
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document.write( "= Lim  ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+%2A+4+%2A+%281-%283%2F4%29%5En%29+ ALIGN=MIDDLE  ALT=\"+16+%2A+4+%2A+%281-%283%2F4%29%5En%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "= ( 16 * 4 * 1 )\r<BR>\n" );
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document.write( "= 64<BR>\n" );
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