document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057964>Question 1057964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first element of a geometric sequence is 1/8 and the eighth element is -16, what is the sixth element? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672980 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The definition of the nth term of a geometric sequence is<BR>\n" );
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document.write( "a(n) = a(0) * r^(n-1), where a(0) is the first term and r is the common ratio<BR>\n" );
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document.write( "we are given a(0) = (1/8) and a(8) = -16<BR>\n" );
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document.write( "-16 = (1/8) * r^(8-1)<BR>\n" );
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document.write( "r^7 = -128 <BR>\n" );
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document.write( "r = -128^(1/7) = -2<BR>\n" );
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document.write( "a(6) = (1/8) * (-2)^(6-1) = -4<BR>\n" );
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