document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204834>Question 1204834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of <BR>\n" );
document.write( "n<BR>\n" );
document.write( " terms of the series<BR>\n" );
document.write( "6<BR>\n" );
document.write( "+<BR>\n" );
document.write( "66<BR>\n" );
document.write( "+<BR>\n" );
document.write( "666<BR>\n" );
document.write( "+<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ". </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841347 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6 +66+666+.....\r<BR>\n" );
document.write( "\n" );
document.write( "This is neither an AP  OR a GP\r<BR>\n" );
document.write( "\n" );
document.write( "6(1+11+111....)\r<BR>\n" );
document.write( "\n" );
document.write( "multiply and divide by 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=6/9( 9+99+999....)\r<BR>\n" );
document.write( "\n" );
document.write( "Re arrange\r<BR>\n" );
document.write( "\n" );
document.write( "=2/3((10-1)+(100-1) +(1000-1)-n))....)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=2/3(10+100+1000...-n)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=2/3 ( 10+10^2+10^3-n))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28%2810%2810%5En-1%29%2F%2810-1%29%29+-n%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28%2810%2810%5En-1%29%2F%2810-1%29%29+-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28%2810%2810%5En-1%29%2F%289%29%29+-n%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28%2810%2810%5En-1%29%2F%289%29%29+-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );