document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105132>Question 105132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the series<BR>\n" );
document.write( "1x2 + 2x2^2 + 3x2^3 +...+ 100x2^100\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76501 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=1%2A2%2B2%2A2%5E2%2B3.2%5E2 ALIGN=MIDDLE  ALT=\"S+=1%2A2%2B2%2A2%5E2%2B3.2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.... ALIGN=MIDDLE  ALT=\"....\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A2%5E100 ALIGN=MIDDLE  ALT=\"100%2A2%5E100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S+=+1%2A2%5E2%2B2%2A2%5E3%2B...... ALIGN=MIDDLE  ALT=\"2S+=+1%2A2%5E2%2B2%2A2%5E3%2B......\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B99%2A2%5E100+%2B+100%2A2%5E+101 ALIGN=MIDDLE  ALT=\"%2B99%2A2%5E100+%2B+100%2A2%5E+101\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting these two,  we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S ALIGN=MIDDLE  ALT=\"2S\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-S ALIGN=MIDDLE  ALT=\"-S\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-S+=+2%2B2%5E2%2B2%5E3 ALIGN=MIDDLE  ALT=\"-S+=+2%2B2%5E2%2B2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=........... ALIGN=MIDDLE  ALT=\"...........\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A2%5E101 ALIGN=MIDDLE  ALT=\"100%2A2%5E101\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=100%2A2%5E101-2%282%5E100-1%29%2F%282-1%29 ALIGN=MIDDLE  ALT=\"S=100%2A2%5E101-2%282%5E100-1%29%2F%282-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A2%5E101-2%5E101%2B2 ALIGN=MIDDLE  ALT=\"100%2A2%5E101-2%5E101%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99%2A2%5E101%2B2 ALIGN=MIDDLE  ALT=\"99%2A2%5E101%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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