document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969853>Question 969853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sixth term of the geometric sequence whose third term is 16 and eighth term is 512/243? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592585 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=592585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the sixth term of the geometric sequence whose third term is 16 and eighth term is 512/243?<BR>\n" );
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document.write( "a*r^2 = 16<BR>\n" );
document.write( "a*r^7 = (512/243)<BR>\n" );
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document.write( "Divide bottom by top to solve for \"r\":<BR>\n" );
document.write( "r^5 = (2^9/3^5)/(2^4) = (2^5/3^5)<BR>\n" );
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document.write( "r = 2/3<BR>\n" );
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document.write( "Ans: a*r^5 = 2^4(2/3)^5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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