document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97340>Question 97340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the pattern to the sequence?<BR>\n" );
document.write( "1,4,9,1,6,2,5,3,6,4,9,6,4 _,_,_,_<BR>\n" );
document.write( "I would also like and explanation how to get the  answer so I can explain it to my daughter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70833 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=70833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice the first three terms\r<BR>\n" );
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document.write( "1,4,9\r<BR>\n" );
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document.write( "This looks like it might be the sequence of perfect squares. If you look at the next number you'll see 1. But if you look at the next two numbers as one number, you'll see 16. Once again if you look at the next pair as one number you get 25. If you keep doing this you get the sequence:\r<BR>\n" );
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document.write( "1,4,9,16,25,36,49,64,...\r<BR>\n" );
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document.write( "So that means the next two numbers are 81 and 100. These break down into \r<BR>\n" );
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document.write( "8,1,1,0,0\r<BR>\n" );
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document.write( "So the entire sequence then becomes\r<BR>\n" );
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document.write( "1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,1,0,0\r<BR>\n" );
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document.write( "But since the problem only asks for 4 numbers, we must drop the last zero. So the sequence is\r<BR>\n" );
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document.write( "1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,1,0 </SPAN>\n" );
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