document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971889>Question 971889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x if the sequence 8, x, (5/2)x is geometric.<BR>\n" );
document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594309 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find x if the sequence 8, x, (5/2)x is geometric.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If a sequence is \"geometric\" there is a \"common ratio\" that is used that is the multiplier from one term to the next.  In this case that \"common ratio\" is 5/2.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore, to get from 8 to x we have:<BR>\n" );
document.write( "8(5/2) = x<BR>\n" );
document.write( "4(5) = x<BR>\n" );
document.write( "20 = x<BR>\n" );
document.write( "so, x is 20 </SPAN>\n" );
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