document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888309>Question 888309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the general term a(n), (with n as a subscript), for an arithmetic sequence whose 7th term is 11 and 20th term is -41. Then find the 9th term. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537387 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=537387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> General term of arithmetic sequence is a+(n-1)d  using n as the index and d as the common difference.<BR>\n" );
document.write( "The initial term is a.<BR>\n" );
document.write( "n=7, term is 11;<BR>\n" );
document.write( "n=20, term is -41.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B%287-1%29d=11 ALIGN=MIDDLE  ALT=\"a%2B%287-1%29d=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B6d=11 ALIGN=MIDDLE  ALT=\"a%2B6d=11\"   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=a%2B%2820-1%29d=-41 ALIGN=MIDDLE  ALT=\"a%2B%2820-1%29d=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B19d=-41 ALIGN=MIDDLE  ALT=\"a%2B19d=-41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Start with Elimination Method to first find d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B19d-%28a%2B6d%29=-41-11 ALIGN=MIDDLE  ALT=\"1%2B19d-%28a%2B6d%29=-41-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19d-6d=-52 ALIGN=MIDDLE  ALT=\"19d-6d=-52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13d=-52 ALIGN=MIDDLE  ALT=\"13d=-52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28d=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "-<BR>\n" );
document.write( "Using the n=7 equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-6d%2B11 ALIGN=MIDDLE  ALT=\"a=-6d%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-6%28-4%29%2B11 ALIGN=MIDDLE  ALT=\"a=-6%28-4%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=35%29 ALIGN=MIDDLE  ALT=\"highlight%28a=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "General term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%2835%2B%28n-1%29%28-4%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%2835%2B%28n-1%29%28-4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can find whichever term you want.<BR>\n" );
document.write( " </SPAN>\n" );
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