document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393978>Question 393978</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I have to find the Recursive Definition for the sequence 0,3,7,12,18... <BR>\n" );
document.write( "I have tried several different ways of writing the formula but none worked. The closest i got was &#12310;&#12310;(A&#12311;_(n-1))&#12311;^2 +3.<BR>\n" );
document.write( "when inputting this it worked for all A's except A_5 which gave me 19 instead of 18. :( somebody please help. <BR>\n" );
document.write( "Please and thank you :)<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 #279565 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice that each difference between two successive terms is 3, 4, 5, 6, ...\r<BR>\n" );
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document.write( "We can generate a recursive sequence <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5Bn-1%5D+%2B+n+%2B+C ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5Bn-1%5D+%2B+n+%2B+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > where C is constant. Part of this is a little guess and check...I have found that C = 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5Bn-1%5D+%2B+n+%2B+2 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5Bn-1%5D+%2B+n+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+0 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can check by substituting a_2, a_3, and so on. </SPAN>\n" );
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