document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086447>Question 1086447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the 3rd term of a Gp is 10 and the 6th term is 80.<BR>\n" );
document.write( "find<BR>\n" );
document.write( "1. the Gp<BR>\n" );
document.write( "2. the nth term of the Gp hence<BR>\n" );
document.write( "3. the 9th term <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700657 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=700657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the 3rd term of a Gp is 10 and the 6th term is 80.<BR>\n" );
document.write( "find<BR>\n" );
document.write( "1. the Gp<BR>\n" );
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document.write( "ar^2 = 10<BR>\n" );
document.write( "ar^5 = 80<BR>\n" );
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document.write( "Divide bottom equation by top to get:<BR>\n" );
document.write( "r^3 = 8<BR>\n" );
document.write( "r = 2<BR>\n" );
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document.write( "Then solve for \"a\"::<BR>\n" );
document.write( "a*2^2 = 10<BR>\n" );
document.write( "a = 10/4 = 5/2<BR>\n" );
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document.write( "Gp:: (5/2)*2^(n-1) for n = 1,2,3...<BR>\n" );
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document.write( "2. the nth term of the Gp hence::a(n) = (5/2)*2^(n-1)<BR>\n" );
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document.write( "3. the 9th term :: (5/2)2^8 = 640<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );