document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746281>Question 746281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the third term and fifth term of a geometric progression are 225 and 5625 respectively, determine the sixth term. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454217 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the third term and fifth term of a geometric progression are 225 and 5625 respectively, determine the sixth term.\r<BR>\n" );
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document.write( "Tn = ar^(n01) is the n th term of a GP\r<BR>\n" );
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document.write( "T3= ar^(3-1)\r<BR>\n" );
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document.write( "T3=ar^2<BR>\n" );
document.write( "225=ar^2\r<BR>\n" );
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document.write( "Similarly\r<BR>\n" );
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document.write( "t5=ar^4<BR>\n" );
document.write( "5625=ar^4\r<BR>\n" );
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document.write( "divides ne equation by the other\r<BR>\n" );
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document.write( "225/5625= ar^2/ar^4\r<BR>\n" );
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document.write( "225/5625= 1/r^2\r<BR>\n" );
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document.write( "25/75= 1/r\r<BR>\n" );
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document.write( "r=3\r<BR>\n" );
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document.write( "plug r \r<BR>\n" );
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document.write( "225=ar^2\r<BR>\n" );
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document.write( "225=a*9\r<BR>\n" );
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document.write( "a=225/9<BR>\n" );
document.write( "a=25\r<BR>\n" );
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document.write( "t6=ar^5\r<BR>\n" );
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document.write( "t6=25*3^5\r<BR>\n" );
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document.write( "t6=25*243<BR>\n" );
document.write( "t6=6075\r<BR>\n" );
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document.write( "6th term = 6075\r<BR>\n" );
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document.write( " </SPAN>\n" );
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