document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092033>Question 1092033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The third term of an AP is 45 and the 23 term term is 315. find the 59th term. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706537 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>You could use the standard formulas for working with arithmetic progressions to solve the problem.  However, I believe you will understand what you are doing better (and get to the answer a lot faster!) if you work in a less formal manner.<br><BR>\n" );
document.write( "The 23rd term is 20 terms after the 3rd term; and it is 270 greater than the 3rd term.  So the common difference is 270/20 = 13.5.<br><BR>\n" );
document.write( "The 59th term is 36 terms after the 23rd term; so the difference between the 23rd term and the 59th term is 36*13.5 = 486.<br><BR>\n" );
document.write( "So the 59th term is 315+486 = 801. </SPAN>\n" );
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