document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540590>Question 540590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the geometric series: 1+ sqrt6+ 6+...+7766 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353776 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the geometric series: <BR>\n" );
document.write( "1+ sqrt6+ 6+...+7766<BR>\n" );
document.write( "----<BR>\n" );
document.write( "S(n) = a[(1-r^n)(1-r)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Determine r and n<BR>\n" );
document.write( "r = sqrt(6)/1 = sqrt(6)<BR>\n" );
document.write( "n = ?<BR>\n" );
document.write( "Solve (sqrt(6))^n = 7766 for \"n\":<BR>\n" );
document.write( "n = log(7766)/(log(sqrt(6)) = 10<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "S(11) = 1[(1-(sqrt(6))^11)/(1-sqrt(6)) = 19046.2322/1.4495 = 13,140<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );