document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214025>Question 214025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a counterexample that shows the statement is false.<BR>\n" );
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document.write( "For every number n, 2^n>n +1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161670 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=161670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2^n>n +1<BR>\n" );
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document.write( "If n=1:<BR>\n" );
document.write( "2^n=2^1=2<BR>\n" );
document.write( "n+1=1+1=2<BR>\n" );
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document.write( "So, if n=1, 2^n=n+1.<BR>\n" );
document.write( "Therefore, the given statement is false. </SPAN>\n" );
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