document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212504>Question 212504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sequence  4,7,10,....<BR>\n" );
document.write( "formula 3n+1\r<BR>\n" );
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document.write( "if two numbers of the sequence are multiplied need to show proof that result is always a number in this sequence.\r<BR>\n" );
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document.write( "please give guidance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160466 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=160466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sequence 4,7,10,....<BR>\n" );
document.write( "formula 3n+1 <BR>\n" );
document.write( "if two numbers of the sequence are multiplied need to show proof that result is always a number in this sequence. <BR>\n" );
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document.write( "You need to show that if two numbers having that form are multiplied<BR>\n" );
document.write( "the product has that form.<BR>\n" );
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document.write( "1st number 3a + 1<BR>\n" );
document.write( "2nd number 3b + 1<BR>\n" );
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document.write( "Product: 9ab + 3a + 3b + 1<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "3(3ab+a+b) + 1<BR>\n" );
document.write( "It has the form 3k+1<BR>\n" );
document.write( "That proves what you were asked to prove.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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