document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843411>Question 843411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1+2+4+8+16+32+...+65,536 Find the sum of each sequence of numbers. Help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508570 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That is a geometric series,<BR>\n" );
document.write( "the sum of the first 17 terms of the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Bn%5D=2%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"b%5Bn%5D=2%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E16=2%5E4%2A2%5E10=64%2A1024=65536 ALIGN=MIDDLE  ALT=\"2%5E16=2%5E4%2A2%5E10=64%2A1024=65536\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That sum is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SUM=1%2B2%2B2%5E2%2B2%5E3%2B%22...%22%2B2%5E16 ALIGN=MIDDLE  ALT=\"SUM=1%2B2%2B2%5E2%2B2%5E3%2B%22...%22%2B2%5E16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2ASUM=2%2B2%5E2%2B2%5E3%2B%22...%22%2B2%5E16%2B2%5E17 ALIGN=MIDDLE  ALT=\"2%2ASUM=2%2B2%5E2%2B2%5E3%2B%22...%22%2B2%5E16%2B2%5E17\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2ASUM-SUM=2%5E17-1 ALIGN=MIDDLE  ALT=\"2%2ASUM-SUM=2%5E17-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-1%29%2ASUM=131072-1 ALIGN=MIDDLE  ALT=\"%282-1%29%2ASUM=131072-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SUM=highlight%28131071%29 ALIGN=MIDDLE  ALT=\"SUM=highlight%28131071%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "Your teacher/instructor may insist on seeing formulas, such as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28b%5B0%5D%2Ar%5E%28n-1%29%2C+1%2Cn%29=b%5B0%5D%2A%28r%5En-1%29%2F%28r-1%29 ALIGN=MIDDLE  ALT=\"sum%28b%5B0%5D%2Ar%5E%28n-1%29%2C+1%2Cn%29=b%5B0%5D%2A%28r%5En-1%29%2F%28r-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SUM%5Bn%5D=b%5B0%5D%2A%28r%5En-1%29%2F%28r-1%29 ALIGN=MIDDLE  ALT=\"SUM%5Bn%5D=b%5B0%5D%2A%28r%5En-1%29%2F%28r-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Humoring teachers and bosses may be essential to survival,<BR>\n" );
document.write( "but I do not believe math is about memorizing.<BR>\n" );
document.write( "Remembering ideas that led others to a way to calculate results is OK.<BR>\n" );
document.write( "That way we do not have to rediscover gunpowder every time,<BR>\n" );
document.write( "but I refuse to memorize. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );