document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350079>Question 350079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: Determine the sum for the following series:<BR>\n" );
document.write( "(a) 100+10+1+...<BR>\n" );
document.write( "(b) 27-9+3-1+... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250209 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=250209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) 100+10+1+0.1+0.01+...=111.11111, repeating<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9=0.11111 ALIGN=MIDDLE  ALT=\"1%2F9=0.11111\"   DISABLED_style= \"max-width:90%; height:auto;\" > repeating. <BR>\n" );
document.write( "Multiply both sides by 1000.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000%2F9=111.1111 ALIGN=MIDDLE  ALT=\"1000%2F9=111.1111\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sum=highlight%281000%2F9%29 ALIGN=MIDDLE  ALT=\"Sum=highlight%281000%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(b)27-9+3-1+...=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2Asum%28%28-3%29%5E%284-n%29%2Cn=1%2Cinfinity%29=-3%5E4%2A%28sum%28%28-1%2F3%29%5E%28n%29%2Cn=1%2Cinfinity%29%29=-81%2A%28-%281%2F3%29%2F%281%2B1%2F3%29%29=highlight%2881%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );