document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216244>Question 216244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the next number in the sequence,<BR>\n" );
document.write( "1,7,31,127,... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163309 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=163309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the next number in the sequence,<BR>\n" );
document.write( "1,7,31,127,...<BR>\n" );
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document.write( "It looks like one less than powers of 2.<BR>\n" );
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document.write( "For example: <BR>\n" );
document.write( "1st: 1 = 2^(1)-1 = 1<BR>\n" );
document.write( "2nd: 7 = 2^(3)-1 = 7<BR>\n" );
document.write( "3rd: 31= 2^(5)-1 = 31<BR>\n" );
document.write( "4th: 127 = 2^(7)-1 = 127 ...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "nth: 2^(2n-1)-1<BR>\n" );
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document.write( "5th: 2^(9)-1 = 511<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );