document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930752>Question 930752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi would you please help me with this homework.\r<BR>\n" );
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document.write( "Write a formula for the nth of the following geometric sequence.\r<BR>\n" );
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document.write( "-3,3/4,-3/16,3/64... \r<BR>\n" );
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document.write( "According to my professor the answer is an=-3*(-1/4)^n-1\r<BR>\n" );
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document.write( "Would you please show me the steps on how to solve this problem. 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 #565252 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=565252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first term is -3. So a = -3\r<BR>\n" );
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document.write( "The common ratio is -1/4. This is because you multiply each term by -1/4 to get the next term.\r<BR>\n" );
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document.write( "You can see this if you divide the second term (3/4) by the first term (-3) and you'll get -1/4. You could also divide the third term by the 2nd term, or the 4th over the 3rd, etc etc\r<BR>\n" );
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document.write( "So r = -1/4\r<BR>\n" );
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document.write( "We now know\r<BR>\n" );
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document.write( "a = -3<BR>\n" );
document.write( "r = -1/4\r<BR>\n" );
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document.write( "You plug them into the general geometric sequence formula\r<BR>\n" );
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document.write( "an = a*(r)^(n-1)\r<BR>\n" );
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document.write( "to get\r<BR>\n" );
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document.write( "an = <font color=\"red\">-3*(-1/4)^(n-1)</font>\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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document.write( "------------------------------------------------------------------------------------------------------------------------ </SPAN>\n" );
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