document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16117>Question 16117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "x   h(x)<BR>\n" );
document.write( "1    2<BR>\n" );
document.write( "2    3<BR>\n" );
document.write( "3    6<BR>\n" );
document.write( "4   11<BR>\n" );
document.write( "5   18\r<BR>\n" );
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document.write( "What I have figured out:  Square x and then subtract progressive odd numbers and the answer is h(x).  \r<BR>\n" );
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document.write( "Examples:<BR>\n" );
document.write( "1 squared = 1<BR>\n" );
document.write( "subtract -1 = 2\r<BR>\n" );
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document.write( "2 squared = 4<BR>\n" );
document.write( "subtract 1 = 3\r<BR>\n" );
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document.write( "3 squared = 9<BR>\n" );
document.write( "subtract 3 = 6\r<BR>\n" );
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document.write( "4 squared = 16<BR>\n" );
document.write( "subtract 5 = 11\r<BR>\n" );
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document.write( "5 squared = 25<BR>\n" );
document.write( "subtract 7 = 18\r<BR>\n" );
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document.write( "I dont' know how to write the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7887 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 2 patterns here:\r<BR>\n" );
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document.write( "1. the squaring of the \"counter\" 1,2,3,4,5, etc<BR>\n" );
document.write( "2. the -1,1,3,5,7, pattern which is basically a x2 table (2,4,6,8,10) just \"shifted.\r<BR>\n" );
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document.write( "OK then:<BR>\n" );
document.write( "1. if the counter is n, then we have n^2. <BR>\n" );
document.write( "2. x2 table is 2n, but ours is shifted, so that first number (should be 2) is now -1.... ie 2n-3\r<BR>\n" );
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document.write( "So combine them, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+%282n-3%29 ALIGN=MIDDLE  ALT=\"n%5E2+-+%282n-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+2n+%2B+3 ALIGN=MIDDLE  ALT=\"n%5E2+-+2n+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check...at random, let n=5 (answer should be 18)\r<BR>\n" );
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document.write( "We have 5^2 - 2*5 + 3<BR>\n" );
document.write( "--> 25 - 10 + 3<BR>\n" );
document.write( "--> 15 + 3<BR>\n" );
document.write( "--> 18\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );