document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=783369>Question 783369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pleaase i need help on this guestion  The 4th term of g.p is  108 and the  6th term is 972 what  are  the possible two   value of the (1)common ratio (2)the 3rd term. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476694 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=476694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 4th term of g.p is 108 and the 6th term is 972 what are the possible two value of the (1)common ratio (2)the 3rd term.<BR>\n" );
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document.write( "General Term: a(n) = a(1)*r^(n-1)<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( " a*r^5 = 972<BR>\n" );
document.write( " a*r^3 = 108<BR>\n" );
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document.write( "(1)common ratio <BR>\n" );
document.write( "Divide to get: r^2 = 9<BR>\n" );
document.write( "So r = 3<BR>\n" );
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document.write( "Solve for \"a\"<BR>\n" );
document.write( "a*r^3 = a*3^3 = 108<BR>\n" );
document.write( "27a = 108<BR>\n" );
document.write( "a = 4<BR>\n" );
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document.write( "(2)the 3rd term<BR>\n" );
document.write( "a*r^2 = 4*9 = 36<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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