document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450583>Question 450583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the 35th term of the arithmetic sequence where a1 = 13 and a17 = –35 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309938 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Arithmetic sequences have a common difference, d. The common difference can be<BR>\n" );
document.write( "obtained from:<BR>\n" );
document.write( "d = (a_n - a_1)/(n-1)<BR>\n" );
document.write( "In this case, n=17:<BR>\n" );
document.write( "d = (a_17 - a_1)/(17 - 1) = (-35 - 17)/(17 - 1) = -48/16 = -3<BR>\n" );
document.write( "So the sequence can be written:<BR>\n" );
document.write( "a_n = 13 - 3(n-1) = 16 - 3n<BR>\n" );
document.write( "To find the 35th term, substitute n=35 into the above equation:<BR>\n" );
document.write( "a_35 = 16 - 3(35) = -89<BR>\n" );
document.write( "Ans: 35th term = -89\r<BR>\n" );
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