document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395408>Question 395408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "What is the 6th number of the next series? and why?<BR>\n" );
document.write( "1,4,9,36,41, ....<BR>\n" );
document.write( "Thank you very much!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280597 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=280597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are many ways to do this, but one way is to look for a repeating pattern. \r<BR>\n" );
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document.write( "Often you'll have a pattern involving 2 arithmetic operations. In this case, we're dealing with multiplication and addition.\r<BR>\n" );
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document.write( "The jump from 1 to 4 is multiplying 1 by 4 to get 4.\r<BR>\n" );
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document.write( "To go from 4 to 9, we're adding 5\r<BR>\n" );
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document.write( "To get to 36 from 9, we're multiplying by 4 (starting to see the pattern?)\r<BR>\n" );
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document.write( "To go from 36 to 41, we're adding 5\r<BR>\n" );
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document.write( "So the next move is to multiply 41 by 4 to get 41*4 = 164\r<BR>\n" );
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document.write( "So the 6th number is 164.\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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