document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128311>Question 1128311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2) The third term of a G.P 12 and the first term is 48. Find the sum of the first 11 terms.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744802 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> WE are given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=48 ALIGN=MIDDLE  ALT=\"b%5B1%5D=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the first term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B3%5D=12 ALIGN=MIDDLE  ALT=\"b%5B3%5D=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the third term<BR>\n" );
document.write( " <BR>\n" );
document.write( "For a G.P. (geometric progression, geometric sequence in the USA),<BR>\n" );
document.write( "with a common ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > , the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5Eth ALIGN=MIDDLE  ALT=\"n%5Eth\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Bn%5D=b%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"b%5Bn%5D=b%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The third term is given by that \"formula\" for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B3%5D=b%5B1%5D%2Ar%5E%283-1%29=b%5B1%5D%2Ar%5E2 ALIGN=MIDDLE  ALT=\"b%5B3%5D=b%5B1%5D%2Ar%5E%283-1%29=b%5B1%5D%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B3%5D=b%5B1%5D%2Ar%5E2 ALIGN=MIDDLE  ALT=\"b%5B3%5D=b%5B1%5D%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D ALIGN=MIDDLE  ALT=\"b%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B3%5D ALIGN=MIDDLE  ALT=\"b%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=48%2Ar%5E2 ALIGN=MIDDLE  ALT=\"12=48%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F48=r%5E2 ALIGN=MIDDLE  ALT=\"12%2F48=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4=r%5E2 ALIGN=MIDDLE  ALT=\"1%2F4=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Without more information, we cannot tell<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1%2F2=0.5 ALIGN=MIDDLE  ALT=\"r=1%2F2=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-1%2F2=-0.5 ALIGN=MIDDLE  ALT=\"r=-1%2F2=-0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For a G.P. the sum of the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms is given by<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=b%5B1%5D%28r%5En-1%29%2F%28r-1%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=b%5B1%5D%28r%5En-1%29%2F%28r-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=11 ALIGN=MIDDLE  ALT=\"n=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=48%28r%5E11-1%29%2F%28r-1%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%28r%5E11-1%29%2F%28r-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.5 ALIGN=MIDDLE  ALT=\"r=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=48%280.5%5E11-1%29%2F%280.5-1%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%280.5%5E11-1%29%2F%280.5-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=48%280.000244140625-1%29%2F%28-0.5%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%280.000244140625-1%29%2F%28-0.5%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%5B11%5D=48%28-0.999755859375%29%2F%28-0.5%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%28-0.999755859375%29%2F%28-0.5%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%5B11%5D=48%2A0.4998779296875 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%2A0.4998779296875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=95.953125 ALIGN=MIDDLE  ALT=\"S%5B11%5D=95.953125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-0.5 ALIGN=MIDDLE  ALT=\"r=-0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=48%28%28-0.5%29%5E11-1%29%2F%28-0.5-1%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%28%28-0.5%29%5E11-1%29%2F%28-0.5-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "......<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=48%280.000244140625-1%29%2F%28-1.5%29 ALIGN=MIDDLE  ALT=\"S%5B11%5D=48%280.000244140625-1%29%2F%28-1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...............<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=32.015625 ALIGN=MIDDLE  ALT=\"S%5B11%5D=32.015625\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );