document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737093>Question 737093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if x, y, and z are the first three terms of a geometric sequence, show that x^2, y^2 and z^2 form another geometric sequence </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450185 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=450185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x y z are in geometric \r<BR>\n" );
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document.write( "x/y = y/z\r<BR>\n" );
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document.write( "OR y^2=xz\r<BR>\n" );
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document.write( "x^2, y^2, z^2\r<BR>\n" );
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document.write( "x^2, xz, z^2\r<BR>\n" );
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document.write( "If they are in geometric sequence then\r<BR>\n" );
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document.write( "xz/x^2 = z^2/xz\r<BR>\n" );
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document.write( "z/x = z/x\r<BR>\n" );
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document.write( "The ratios are common\r<BR>\n" );
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document.write( "so x^2,y^2 & z^2 is a GP </SPAN>\n" );
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