document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052696>Question 1052696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x, y and z are consecutive terms in a geometric sequence, then y over z is equal to z over y. Show that the following numbers are consecutively in a geometric sequence: <BR>\n" );
document.write( "A) 5, square root of 35 and 7 <BR>\n" );
document.write( "B) a, square root of ab and b  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668028 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=668028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x, y and z are consecutive terms in a geometric sequence, then y over z is equal to z over y. Show that the following numbers are consecutively in a geometric sequence: <BR>\n" );
document.write( "A) 5, square root of 35 and 7 <BR>\n" );
document.write( "r = sqrt(35)/5 <BR>\n" );
document.write( "r = 7/sqrt(35) = 7*sqrt(35)/35 = sqrt(35)/5<BR>\n" );
document.write( "Since the ratios are the same, the sequence is geometric.<BR>\n" );
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document.write( "B) a, square root of ab and b <BR>\n" );
document.write( "r = sqrt(ab)/a<BR>\n" );
document.write( "r = b/sqrt(ab) = b*sqrt(ab)/ab = sqrt(ab)/a<BR>\n" );
document.write( "Since the ratios are the same, the sequence is geometric.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );