document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618157>Question 618157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of th following statements is(are) true for all positive integers\r<BR>\n" );
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document.write( "1) 13^n+10 is divisible by 2<BR>\n" );
document.write( "2) 7^n+11 is divisible by 4<BR>\n" );
document.write( "How to i figure out if these are true  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388727 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which of th following statements is(are) true for all positive integers\r<BR>\n" );
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document.write( "1) 13^n+10 is divisible by 2<BR>\n" );
document.write( "Whether the exponent is n or n+10, this will always give an odd number, so it's false.<BR>\n" );
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document.write( "2) 7^n+11 is divisible by 4<BR>\n" );
document.write( "If the exponent is n+11, it will be an odd number --> false.<BR>\n" );
document.write( "If the exponent is n, then one counter-example will prove it false.<BR>\n" );
document.write( "7^3 + 11 = 354 --> false </SPAN>\n" );
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