document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562803>Question 562803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the nth term for this pattern?....... 2,8,18,32,50 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364708 by </B><A HREF=/tutors/aboutme.mpl?userid=issacodegard><B>issacodegard(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=issacodegard><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=issacodegard><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, the first term is 2, and I'll denote the nth term by f(n).  The sequence of terms for f(n)/2 is 1,4,9,16,25,... which are the positive integers squares.  So we have f(n)/2=n^2.  Therefore, f(n)=2n^2. </SPAN>\n" );
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