document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183079>Question 183079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> inductive reasoning to determine the next three numbers in the pattern: 3, 12, 26, 45,  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137451 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=137451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> inductive reasoning to determine the next three numbers in the pattern: 3, 12, 26, 45,<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Quadratic function:<BR>\n" );
document.write( "f(n) = (5/2)n^2 + (3/2)n -1<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Next three numbers<BR>\n" );
document.write( "f(5) = 69<BR>\n" );
document.write( "f(6) = 98<BR>\n" );
document.write( "f(7) = 132<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );