document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191251>Question 1191251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of the following infinite series: (1/6) + (13/6^2) + (19/6^3) + (97/6^4) + ... + ((3^n) + (-2)^n) / (6^n) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823056 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When a teacher gives you such problem, it is assumed that you have a prerequisite and are able <BR>\n" );
document.write( "to sum up an infinite geometric progression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, split the given sequence into the sum of two infinite geometric progressions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Prove to yourself and to all around you that you know the necessary prerequisite.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you don't know prerequisite, it means that you are in wrong class.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );