document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927792>Question 927792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two geometric sequences with 3nd term 5 and 5th term 80. What are the two possible values of the 4rd term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563277 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=563277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two geometric sequences with 3nd term 5 and 5th term 80. What are the two possible values of the 4rd term?<BR>\n" );
document.write( "a(3) = ar^2 = 5<BR>\n" );
document.write( "a(5) = ar^4 = 80<BR>\n" );
document.write( "===<BR>\n" );
document.write( "Divide and solve for \"r\"::<BR>\n" );
document.write( "r^2 = 16<BR>\n" );
document.write( "r = +4 or r = -4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "If r = +4, a = 5/16 and a(4) = (5/16)r^3 = (5/16)*4^3 = 20<BR>\n" );
document.write( "If r = -4, a = 80/64 = 5/4 and a(4) = (5/4)(-4)^3 = 5(-16) = -80<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );