document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347947>Question 347947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use summation notation to write the series:  1- 1/2+ 1/4- 1/8+ ...- 1/128 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248763 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> note  <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 and n the common ratio.  In this series the common ratio is r = -(1/2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "knowing the value of the nth term: find the number of terms in the series<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F128%29=+%28-1%2F2%29%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"%28-1%2F128%29=+%28-1%2F2%29%5B1%5D%2Ar%5E%28n-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=%28-1%2F128%29=+%28-1%2F2%29%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"%28-1%2F128%29=+%28-1%2F2%29%2Ar%5E%28n-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=%281%2F64%29=+%28-1%2F2%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"%281%2F64%29=+%28-1%2F2%29%5E%28n-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=%28-1%2F2%29%5E6=+%28-1%2F2%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"%28-1%2F2%29%5E6=+%28-1%2F2%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6 = n-1<BR>\n" );
document.write( "7 =n<BR>\n" );
document.write( ".<BR>\n" );
document.write( "finding the sum of the terms can be found by the following<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+a%5B1%5D%281-r%5En%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+a%5B1%5D%281-r%5En%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%282%2F3%29%281-r%5En%29%2C+n=1%2C+7+%29 ALIGN=MIDDLE  ALT=\"sum%28%282%2F3%29%281-r%5En%29%2C+n=1%2C+7+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );