document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=301620>Question 301620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is th value of<BR>\n" );
document.write( "   1+i+i^2+i^3+i^4+i^5+i^6+i^7+i^8+i^9+i^10+i^11+i^12+i^13+i^14+i^15+i^16+i^17+i^18+i^19+i^20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216283 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First calculate your terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E1=i ALIGN=MIDDLE  ALT=\"i%5E1=i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E3=-i ALIGN=MIDDLE  ALT=\"i%5E3=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4=1 ALIGN=MIDDLE  ALT=\"i%5E4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E5=i ALIGN=MIDDLE  ALT=\"i%5E5=i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E6=-1 ALIGN=MIDDLE  ALT=\"i%5E6=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E7=-i ALIGN=MIDDLE  ALT=\"i%5E7=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E8=1 ALIGN=MIDDLE  ALT=\"i%5E8=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You see the recurring pattern. <BR>\n" );
document.write( "The sum from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E1 ALIGN=MIDDLE  ALT=\"i%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4 ALIGN=MIDDLE  ALT=\"i%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i-1-i%2B1=0 ALIGN=MIDDLE  ALT=\"i-1-i%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Similarly<BR>\n" );
document.write( "The sum from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E5 ALIGN=MIDDLE  ALT=\"i%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E8 ALIGN=MIDDLE  ALT=\"i%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i-1-i%2B1=0 ALIGN=MIDDLE  ALT=\"i-1-i%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sum from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E9 ALIGN=MIDDLE  ALT=\"i%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E12 ALIGN=MIDDLE  ALT=\"i%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i-1-i%2B1=0 ALIGN=MIDDLE  ALT=\"i-1-i%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The sum from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E13 ALIGN=MIDDLE  ALT=\"i%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E16 ALIGN=MIDDLE  ALT=\"i%5E16\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i-1-i%2B1=0 ALIGN=MIDDLE  ALT=\"i-1-i%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sum from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E17 ALIGN=MIDDLE  ALT=\"i%5E17\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E20 ALIGN=MIDDLE  ALT=\"i%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i-1-i%2B1=0 ALIGN=MIDDLE  ALT=\"i-1-i%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bi%2Bi%5E2%2Bi%5E3%2Bi%5E4%2Bi%5E5%2Bi%5E6%2Bi%5E7%2Bi%5E8%2Bi%5E9%2Bi%5E10%2Bi%5E11%2Bi%5E12%2Bi%5E13%2Bi%5E14%2Bi%5E15%2Bi%5E16%2Bi%5E17%2Bi%5E18%2Bi%5E19%2Bi%5E20=1%2B0%2B0%2B0%2B0%2B0=highlight_green%281%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );