document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131275>Question 131275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good Morning, I would like some help in solving the following problem:\r<BR>\n" );
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document.write( "Find the tenth term of the sequence 5, -25, 125, -625.  Thank you in advance for your help.\r<BR>\n" );
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document.write( "Denise </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95828 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there were no minus signs in the sequence, it would<BR>\n" );
document.write( "be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E1 ALIGN=MIDDLE  ALT=\"5%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2 ALIGN=MIDDLE  ALT=\"5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E3 ALIGN=MIDDLE  ALT=\"5%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E4 ALIGN=MIDDLE  ALT=\"5%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, etc.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of the term of the sequence, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5En ALIGN=MIDDLE  ALT=\"5%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5, 25, 125, 625, etc.<BR>\n" );
document.write( "Now to account for the minus sign, how do I get<BR>\n" );
document.write( "1, -1, 1, -1, 1, etc. ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E%28n%2B1%29 ALIGN=MIDDLE  ALT=\"%28-1%29%5E%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will do this, because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28-1%29%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (1st term)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E3+=+-1 ALIGN=MIDDLE  ALT=\"%28-1%29%5E3+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2nd term)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E4+=+1 ALIGN=MIDDLE  ALT=\"%28-1%29%5E4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (3rd term)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E5+=+-1 ALIGN=MIDDLE  ALT=\"%28-1%29%5E5+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (4th term)<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "So, the sequence is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E%28n%2B1%29%2A5%5En ALIGN=MIDDLE  ALT=\"%28-1%29%5E%28n%2B1%29%2A5%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 5, -25, 125, -625, etc.<BR>\n" );
document.write( "What is the 10th term? It is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-1%29%5E11%29%2A%285%5E10%29 ALIGN=MIDDLE  ALT=\"%28%28-1%29%5E11%29%2A%285%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > gets multiplied by itself an odd number of times,<BR>\n" );
document.write( "(11 is odd), the answer will be negative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2A%285%5E10%29+=+-9765625 ALIGN=MIDDLE  ALT=\"%28-1%29%2A%285%5E10%29+=+-9765625\"   DISABLED_style= \"max-width:90%; height:auto;\" > by my calculator </SPAN>\n" );
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