document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598796>Question 598796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the geometric sequence find r and the 10th term.<BR>\n" );
document.write( "a) 4, 12, 36,108...<BR>\n" );
document.write( "b) 972, -324, 108, -36...\r<BR>\n" );
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document.write( "Not really sure what to do here. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378709 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=378709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In geometric sequences, r (known as the common ratio) is the ratio of one of the terms and the preceding term.<BR>\n" );
document.write( "For the first sequence, r can be found by dividing the second term by the first term, or the third term by the second term:<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+12%2F4 ALIGN=MIDDLE  ALT=\"r+=+12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+3 ALIGN=MIDDLE  ALT=\"r+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+36%2F12 ALIGN=MIDDLE  ALT=\"r+=+36%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+3 ALIGN=MIDDLE  ALT=\"r+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The nth term is found by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the first term, r is the common ratio, and n = the number of the term.<BR>\n" );
document.write( "So for the 10th term, n = 10 and:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+4%2A3%5E%2810-1%29 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+4%2A3%5E%2810-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+4%2A3%5E9 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+4%2A3%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+4%2A19683 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+4%2A19683\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+78732 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+78732\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) The common ratio, r, is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-324%2F972 ALIGN=MIDDLE  ALT=\"r+=+-324%2F972\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-1%2F3 ALIGN=MIDDLE  ALT=\"r+=+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the 10th term is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+972%2C+%7B%7B%7Bn+=+10 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+972%2C+%7B%7B%7Bn+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-1%2F3 ALIGN=MIDDLE  ALT=\"r+=+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+972%2A%28-1%2F3%29%5E9 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+972%2A%28-1%2F3%29%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+972%2A%28-1%2F19683%29 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+972%2A%28-1%2F19683%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+-0.0493827 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+-0.0493827\"   DISABLED_style= \"max-width:90%; height:auto;\" > Approx.<BR>\n" );
document.write( " </SPAN>\n" );
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