document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928744>Question 928744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! <BR>\n" );
document.write( "I am having a problem on a question involving geometric sequences and series. The problem gives me a1= 2 and a3=16 and wants to know a6=?. I have tried plugging in r=2, 2.5, 3, 3.5, 4, 4.5 (these haven't worked) so I am wondering if it is a radical of some kind.? Any help would be greatly appreciated! Thank you!\r<BR>\n" );
document.write( "\n" );
document.write( "K. Legters </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563815 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=563815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By definition, \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a2 = r*a1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a3 = r*a2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a3 = r*(r*a1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a3 = r^2*a1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since a3 = r^2*a1, we know \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a3 = r^2*a1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "16 = r^2*2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "16/2 = r^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8 = r^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r^2 = 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r = sqrt(8)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r = 2*sqrt(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The general nth term formula is \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "an = a1*(r)^(n-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "an = 2*(2*sqrt(2))^(n-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now plug in n = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "an = 2*(2*sqrt(2))^(n-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a6 = 2*(2*sqrt(2))^(6-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a6 = 2*(2*sqrt(2))^5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a6 = 2*(128*sqrt(2))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a6 = 256*sqrt(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a6+=+256%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"a6+=+256%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you need more one-on-one help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Alternatively, please consider visiting my website: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Jim\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------------------------------------------------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );