document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054917>Question 1054917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the third term of a G.P is 45 and the fifth term is 405. Find the G.P. if the common ratio r is positive  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670124 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a3=a1^r^2=45<BR>\n" );
document.write( "a5=a3^r^2=a1r^4<BR>\n" );
document.write( "a1=45/r^2<BR>\n" );
document.write( "a1=405/r^4<BR>\n" );
document.write( "45/r^2=405/r^4<BR>\n" );
document.write( "405r^2=45r^4<BR>\n" );
document.write( "9=r^2<BR>\n" );
document.write( "r=3<BR>\n" );
document.write( "Therefore, a2=15 and a1=5<BR>\n" );
document.write( "5*3^n.<BR>\n" );
document.write( "an=5*3^(n-1)<BR>\n" );
document.write( "The series is 5,15,45,135,405...<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );