document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707731>Question 707731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi trying to find a pattern in the following numbers<BR>\n" );
document.write( "1,2,6,14,____ can anyone help please<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435835 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=435835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hi trying to find a pattern in the following numbers<BR>\n" );
document.write( "1,2,6,14,____ can anyone help please<BR>\n" );
document.write( "------<BR>\n" );
document.write( "n = 1: 1<BR>\n" );
document.write( "n = 2: 1 + 2^0 = 2<BR>\n" );
document.write( "n = 3: 1 + 2^0 + 2^2 = 6<BR>\n" );
document.write( "n = 4: 1 + 2^0 + 2^2 + 2^3 = 14<BR>\n" );
document.write( "----<BR>\n" );
document.write( "k-th term: 1 + 2^0 + 2^2 + 2^3 + ...+ 2^(k-1)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );