document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711986>Question 711986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the number of terms in the following arithmetic sequence: 315, 304, 293, ... , 18. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437694 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=437694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the number of terms in the following arithmetic sequence: <BR>\n" );
document.write( "315, 304, 293, ... , 18<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a = 315<BR>\n" );
document.write( "d = 304-315 = -11<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"n\":<BR>\n" );
document.write( "a(n) = a + (n-1)d<BR>\n" );
document.write( "----<BR>\n" );
document.write( "18 = 315 + (n-1)(-11)<BR>\n" );
document.write( "-297 = (n-1)(-11)<BR>\n" );
document.write( "n-1 = (-297/-11)<BR>\n" );
document.write( "n-1 = 27<BR>\n" );
document.write( "n = 28 (# of terms)<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );