document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973104>Question 973104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help<BR>\n" );
document.write( "Find the following sum: 1+2+4+8+...+2^k-1<BR>\n" );
document.write( "I tried to set it out the following way <BR>\n" );
document.write( "1+2+4+8...+2^k-1,?,?,?<BR>\n" );
document.write( "2^k-1+?+?+?...+8+4+2+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595352 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=595352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the following sum: 1+2+4+8+...+2^k-1<BR>\n" );
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document.write( "Sum of a geometric series:: <BR>\n" );
document.write( "S(n) = a[r^n - 1]/[r-1]<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( "a = 1, r = 2<BR>\n" );
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document.write( "S(k) = [2^k -1]/1 = 2^k - 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );