document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006888>Question 1006888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) Which term of the geometric series is: 2187, 729, 243, . . . is 1/9?\r<BR>\n" );
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document.write( "B) calculate the sum of the first 5 terms? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622933 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each term is 1/3 the previous term.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=2187%2F3%5E%28n-1%29%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=2187%2F3%5E%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2187%2F3%5E%28n-1%29=1%2F9 ALIGN=MIDDLE  ALT=\"2187%2F3%5E%28n-1%29=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n-1%29=19683 ALIGN=MIDDLE  ALT=\"3%5E%28n-1%29=19683\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-1=log%283%2C19683%29 ALIGN=MIDDLE  ALT=\"n-1=log%283%2C19683%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-1=log%28%2819683%29%29%2Flog%28%283%29%29 ALIGN=MIDDLE  ALT=\"n-1=log%28%2819683%29%29%2Flog%28%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-1=9 ALIGN=MIDDLE  ALT=\"n-1=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=10 ALIGN=MIDDLE  ALT=\"n=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's the tenth term.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=2187%2F3%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=2187%2F3%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=2187%2A%281%2F3%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=2187%2A%281%2F3%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=2187%2A%281%2F3%29%5E%28n%29%2A%281%2F3%29%5E%28-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=2187%2A%281%2F3%29%5E%28n%29%2A%281%2F3%29%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=6561%2A%281%2F3%29%5En ALIGN=MIDDLE  ALT=\"A%5Bn%5D=6561%2A%281%2F3%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the partials sums are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=6561%2A%28%281%2F3%29%281-%281%2F3%29%5En%29%29%2F%28%281-1%2F3%29%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=6561%2A%28%281%2F3%29%281-%281%2F3%29%5En%29%29%2F%28%281-1%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%286561%2F2%29%2A%281-%281%2F3%29%5En%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%286561%2F2%29%2A%281-%281%2F3%29%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5 ALIGN=MIDDLE  ALT=\"n=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D=%286561%2F2%29%281-%281%2F3%29%5E5%29 ALIGN=MIDDLE  ALT=\"S%5B5%5D=%286561%2F2%29%281-%281%2F3%29%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D=%286561%2F2%29%281-1%2F243%29 ALIGN=MIDDLE  ALT=\"S%5B5%5D=%286561%2F2%29%281-1%2F243%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D=%286561%2F2%29%28243%2F243-1%2F243%29 ALIGN=MIDDLE  ALT=\"S%5B5%5D=%286561%2F2%29%28243%2F243-1%2F243%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D=%286561%2F2%29%28242%2F243%29 ALIGN=MIDDLE  ALT=\"S%5B5%5D=%286561%2F2%29%28242%2F243%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D=3267 ALIGN=MIDDLE  ALT=\"S%5B5%5D=3267\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );