document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172497>Question 1172497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the general term or nth term of the sequence 1/4,9/16,81/64,729/256,...?<BR>\n" );
document.write( "A. 9^n-1/4^n+1<BR>\n" );
document.write( "B. 9^n-1/4^n<BR>\n" );
document.write( "C. 9^n/4^n-1<BR>\n" );
document.write( "D. 9^n+1/4^n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797548 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The ratio of the second term to the first term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F16%29%2F%281%2F4%29+=+%289%2F4%29 ALIGN=MIDDLE  ALT=\"%289%2F16%29%2F%281%2F4%29+=+%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The ratio of the third term to the second term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2881%2F64%29%2F%289%2F16%29+=+%289%2F4%29 ALIGN=MIDDLE  ALT=\"%2881%2F64%29%2F%289%2F16%29+=+%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The ratio of the fourth term to the third term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28729%2F256%29%2F%2881%2F64%29+=+%289%2F4%29 ALIGN=MIDDLE  ALT=\"%28729%2F256%29%2F%2881%2F64%29+=+%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The sequence is geometric, with first term 1/4 and common ratio 9/4:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28n%29+=+%281%2F4%29%289%2F4%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"t%28n%29+=+%281%2F4%29%289%2F4%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28n%29+=+9%5E%28n-1%29%2F4%5En ALIGN=MIDDLE  ALT=\"t%28n%29+=+9%5E%28n-1%29%2F4%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 9^(n-1)/4^n.<br><BR>\n" );
document.write( "Technically, none of the given answer choices is correct, because they are all written incorrectly; required parentheses are missing.<br><BR>\n" );
document.write( "Answer B is supposed to be the right answer; but as it is written that answer is 9^n-1/4^n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5En-1%2F4%5En ALIGN=MIDDLE  ALT=\"9%5En-1%2F4%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That is clearly something very different from the correct expression.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );