document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043724>Question 1043724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658876 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=658876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The fifth term of an arithmetic sequence is 9 <BR>\n" );
document.write( "a + 8d = 9<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "the 32nd term is -84. <BR>\n" );
document.write( "a + 31d = -84<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Subtract and solve for \"d\"::<BR>\n" );
document.write( "23d = -93<BR>\n" );
document.write( "d = -4.04<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for \"a\"::<BR>\n" );
document.write( "a = 9-8*-4.04 = 9+32.32 = 41.32<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "What is the 23rd term?<BR>\n" );
document.write( "a(23) = 41.32 + 22(-4.04) = -47.64<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );