document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915793>Question 915793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't figure this out!\r<BR>\n" );
document.write( "\n" );
document.write( "Find the sum (assume |x| < 1/2):\r<BR>\n" );
document.write( "\n" );
document.write( "2+4x+8x^2+16x^3+32x^4+..... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555776 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we are given,<BR>\n" );
document.write( "2+4x+8x^2+16x^3+32x^4+..... which can be written<BR>\n" );
document.write( "a / (1 - r) where a is first term and r is common ratio, r = 2x and<BR>\n" );
document.write( "division by 0 is not allowed, then<BR>\n" );
document.write( "summation(S) for k = 0 to infinity of (2^(k+1)*x^k) is<BR>\n" );
document.write( "S = 2 / (1 - 2x) where |x| < (1/2)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );