document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086787>Question 1086787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in the geometric sequence 6,12,24,48, which term is 768?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701024 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The n-th term of a geometric sequence is a_n = a*r^(n-1) where r is the common ratio and a is the 1st term.<BR>\n" );
document.write( "In this case, r = 2, and the 1st term is 6.<BR>\n" );
document.write( "Thus a_n = 768 = 6*2^(n-1)<BR>\n" );
document.write( "768/6 = 128 = 2^(n-1)<BR>\n" );
document.write( "Since 2^7 = 128 -> n - 1 = 7, or n = 8<BR>\n" );
document.write( "786 is the 8th term. </SPAN>\n" );
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