document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119497>Question 1119497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the first term, the common difference, and the nth term of the arithmetic sequence described here;<BR>\n" );
document.write( "8th term is 4; 18th term is – 96 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735078 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=735078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The nth term of an arithmetic sequence is a(n) = a + (n-1)d <BR>\n" );
document.write( "where d = common difference, a = 1st term<BR>\n" );
document.write( "a(18) - a(8) = a + 17d - (a + 7d) = -96 - 4 = -100<BR>\n" );
document.write( "Thus 10d = -100 -> d = -10<BR>\n" );
document.write( "a(8) - a = a + 7d - a = 7d = -70<BR>\n" );
document.write( "a = 4 - -70 = 74<BR>\n" );
document.write( "Thus a(n) = 74 - 10(n-1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );