document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56303>Question 56303</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534403654/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Consider the sequence that begins 4, 3, ... and continues by the rule: Every subsequent element of the sequence is the sum of the two preceding elements.\r<BR>\n" );
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document.write( "a. Determine the next five (third through seventh) elements of this sequence.<BR>\n" );
document.write( "b. Compute the ratio of the sixth and seventh elements of this sequence. Is it close to the Golden Ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38226 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=38226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So your pattern would be ...<BR>\n" );
document.write( "a + b = c .... b + c = d .... c + d = e .... and so on<BR>\n" );
document.write( "4, 3, 7, 10, 17, 27, 44 ....\r<BR>\n" );
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document.write( "27/44 is the ratio of the 6th and 7th terms.  \r<BR>\n" );
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document.write( "The golden ratio is approx 1.618 .....<BR>\n" );
document.write( "so the ratio of the 6th to 7th is NOT close to the golden ration ...<BR>\n" );
document.write( "the ratio of the 7th to the 6th .... 44/27  IS close to the golden ratio.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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