document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011407>Question 1011407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the first negative term of an AP 129,120,111,102....and so on. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627042 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the nth term of an arithmetic progression is<BR>\n" );
document.write( "Xn = a1 + d(n-1)<BR>\n" );
document.write( "for our problem a1=129, d=-9<BR>\n" );
document.write( "Xn = 129 - 9(n-1) < 0 =<BR>\n" );
document.write( "-9(n-1) < -129 =<BR>\n" );
document.write( "-9n+9 < -129 =<BR>\n" );
document.write( "-9n < -138<BR>\n" );
document.write( "n > 15.3, therefore<BR>\n" );
document.write( "the delta must be 9*16<BR>\n" );
document.write( "X17 = 129 - 9(17-1)<BR>\n" );
document.write( "the 17th term of the arithmetic progression is the first term to be negative </SPAN>\n" );
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