document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179135>Question 1179135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove 4•10^(2n)+9•10^(2n-1)+5 is divisible by 99 for n is in N. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808654 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=808654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Assuming that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A10%5E%282n%29%2B9%2A10%5E%282n-1%29%2B5=99k ALIGN=MIDDLE  ALT=\"4%2A10%5E%282n%29%2B9%2A10%5E%282n-1%29%2B5=99k\"   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=4%2A10%5E%282n%2B1%29%2B9%2A10%5E%282n%2B1%29%2B5 ALIGN=MIDDLE  ALT=\"4%2A10%5E%282n%2B1%29%2B9%2A10%5E%282n%2B1%29%2B5\"   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%2A4%2A10%5E%282n%29%2B100%2A9%2A10%5E%282n-1%29%2B5 ALIGN=MIDDLE  ALT=\"100%2A4%2A10%5E%282n%29%2B100%2A9%2A10%5E%282n-1%29%2B5\"   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%2A4%2A10%5E%282n%29%2B9%2A10%5E%282n-1%29%2B5 ALIGN=MIDDLE  ALT=\"100%2A4%2A10%5E%282n%29%2B9%2A10%5E%282n-1%29%2B5\"   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%2A%284%2A10%5E%282n%29%2B9%2A10%5E%282n-1%2B5-5%29%29%2B5 ALIGN=MIDDLE  ALT=\"100%2A%284%2A10%5E%282n%29%2B9%2A10%5E%282n-1%2B5-5%29%29%2B5\"   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%2A%284%2A10%5E%282n%29%2B9%2A10%5E%282n-1%2B5%29%29-500%2B5 ALIGN=MIDDLE  ALT=\"100%2A%284%2A10%5E%282n%29%2B9%2A10%5E%282n-1%2B5%29%29-500%2B5\"   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%2A99k-495 ALIGN=MIDDLE  ALT=\"100%2A99k-495\"   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%2A99k-5%2A99 ALIGN=MIDDLE  ALT=\"100%2A99k-5%2A99\"   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=%28100k-5%29%2A99 ALIGN=MIDDLE  ALT=\"%28100k-5%29%2A99\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99 ALIGN=MIDDLE  ALT=\"99\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor, means it is divisible by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99+ ALIGN=MIDDLE  ALT=\"99+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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