document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630801>Question 630801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of terms in the arithmetic sequence with the given conditions.<BR>\n" );
document.write( "    a1=-3, d=1/3, S=55\r<BR>\n" );
document.write( "\n" );
document.write( "n= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397173 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=397173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the number of terms in the arithmetic sequence with the given conditions.<BR>\n" );
document.write( "a1=-3, d=1/3, S=55 <BR>\n" );
document.write( "n=<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "S(n) = (n/2)(a + L)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "S(n) = (n/2)(a+a+(n-1)d)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "55 = (n/2)(2a+nd - d)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "55 = (n/2)(-6 + (1/3)n - (1/3))<BR>\n" );
document.write( "----<BR>\n" );
document.write( "55 = (n/2)(-19/3) + (1/3)n)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "55 = (n/2)[(-19+n)/3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "55 = (n/6)(-19+n)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "330 = -19n + n^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "n^2 - 19n - 330 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(n+11)(n-30) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "n = 30<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" );