document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237566>Question 237566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the next number in the series in the following sequence\r<BR>\n" );
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document.write( "3,5,5,19,7,41,9,.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174704 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=174704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This series is really 2 different series mixed together\r<BR>\n" );
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document.write( "3,5,5,19,7,41,9,....\r<BR>\n" );
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document.write( "Start at the first number and then take every other one<BR>\n" );
document.write( "3,5,7,9 ... it's easy to see the next one there is 11\r<BR>\n" );
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document.write( "Start at the second number and take every other one<BR>\n" );
document.write( "5, 19, 41 <BR>\n" );
document.write( "I don't see a strict easy pattern jumping out at me here. <BR>\n" );
document.write( "So let's think about using something from the first series.<BR>\n" );
document.write( "3^2 = 9   9-5 = 4   <BR>\n" );
document.write( "5^2 = 25  25-19 = 6<BR>\n" );
document.write( "7^2 = 49  49-41 = 8<BR>\n" );
document.write( "hmmm maybe we are into something<BR>\n" );
document.write( "9^2 = 81 81-x = 10<BR>\n" );
document.write( "x = 71<BR>\n" );
document.write( "I am going with 71 </SPAN>\n" );
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