document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643787>Question 643787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000. \r<BR>\n" );
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document.write( "16, 24,36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404624 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=404624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000. <BR>\n" );
document.write( "16, 24,36<BR>\n" );
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document.write( "a*r^(n-1) >= 1000<BR>\n" );
document.write( "16*(3/2)^(n-1) >= 1000<BR>\n" );
document.write( "(3/2)^(n-1) >= 62.5<BR>\n" );
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document.write( "Take the log of both sides:<BR>\n" );
document.write( "(n-1)log(1.5) >= log(62.5)<BR>\n" );
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document.write( "n-1 >= 10.2<BR>\n" );
document.write( "N >= 11.2<BR>\n" );
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document.write( "Ans: n = 11<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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