document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164009>Question 164009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first four terms of a pattern are shown below:\r<BR>\n" );
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document.write( "ABBA<BR>\n" );
document.write( "AABBBAA<BR>\n" );
document.write( "AAABBBBAAA<BR>\n" );
document.write( "AAAABBBBBAAAA\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Suppose that this pattern continues, with the As and Bs increasing as shown<BR>\n" );
document.write( "Find an expression for the ratio of Bs to total letters in the nth term. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120844 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=120844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first four terms of a pattern are shown below: \r<BR>\n" );
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document.write( "ABBA<BR>\n" );
document.write( "AABBBAA<BR>\n" );
document.write( "AAABBBBAAA<BR>\n" );
document.write( "AAAABBBBBAAAA \r<BR>\n" );
document.write( "\n" );
document.write( "Suppose that this pattern continues, with the As and Bs increasing as shown<BR>\n" );
document.write( "Find an expression for the ratio of Bs to total letters in the nth term. <BR>\n" );
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document.write( "The nth term:<BR>\n" );
document.write( "starts with \"n\" A's<BR>\n" );
document.write( "has \"n+1\" B's<BR>\n" );
document.write( "ends with \"n\" A's<BR>\n" );
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document.write( "ratio of B's to A's: (n+1)/(2n)<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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