document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069954>Question 1069954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 3 5 are the first three terms of the first differences of a quadratic sequence. The 7th term of the quadratic sequence is 35.\r<BR>\n" );
document.write( "\n" );
document.write( "1.determine the 6th and 5th terms of the quadratic sequence (4)<BR>\n" );
document.write( "2.Determine the nth term of the quadratic sequence(5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685349 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> DISCLAIMERS:<BR>\n" );
document.write( "1) Different teachers/schools/countries use<BR>\n" );
document.write( "different symbols/formulas/names. For a few examples, what in USA is usually called arithmetic sequence is an arithmetic progression, or an AP in other places, and \"trapezoid\" and \"billion\" also change meaning as you move from one place to another.<BR>\n" );
document.write( "2) Your teacher may have given you formulas and \"recipes\" to solve<BR>\n" );
document.write( "\"problems of this type\" , and may even have a certain preferred or required homework format. I cook from scratch, and solve problems the same way, without using memorized formulas or procedures, only remembering formulas that I have used too often, and seem obvious to me from the most basic definitions.<BR>\n" );
document.write( " <BR>\n" );
document.write( "(MY) SYMBOL DEFINITIONS:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D ALIGN=MIDDLE  ALT=\"x%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= term number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the quadratic sequence.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bn%5D ALIGN=MIDDLE  ALT=\"d%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= first-difference number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the quadratic sequence, so that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%2B1%5D=x%5Bn%5D%2Bd%5Bn%5D ALIGN=MIDDLE  ALT=\"x%5Bn%2B1%5D=x%5Bn%5D%2Bd%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FOR THIS SEQUENCE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28d%5B1%5D=1%2Cd%5B2%5D=3%2Cd%5B3%5D=5%29 ALIGN=MIDDLE  ALT=\"system%28d%5B1%5D=1%2Cd%5B2%5D=3%2Cd%5B3%5D=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > tells us that the second-difference is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=3-1=5-3 ALIGN=MIDDLE  ALT=\"2=3-1=5-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > throughout the sequence.<BR>\n" );
document.write( "The first-differences form an arithmetic sequence<BR>\n" );
document.write( "with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D=1%7D%7D%5D+and+common+difference+%7B%7B%7B2 ALIGN=MIDDLE  ALT=\"d%5B1%5D=1%7D%7D%5D+and+common+difference+%7B%7B%7B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bn%5D=1%2B2%2A%28n-1%29=1%2B2n-2=2n-1 ALIGN=MIDDLE  ALT=\"d%5Bn%5D=1%2B2%2A%28n-1%29=1%2B2n-2=2n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d%5Bn%5D=2n-1%29 ALIGN=MIDDLE  ALT=\"highlight%28d%5Bn%5D=2n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "1. For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D ALIGN=MIDDLE  ALT=\"d%5B4%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D ALIGN=MIDDLE  ALT=\"d%5B5%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D ALIGN=MIDDLE  ALT=\"d%5B6%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > , you could just count by 2's to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D=7 ALIGN=MIDDLE  ALT=\"d%5B4%5D=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,' <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D=9 ALIGN=MIDDLE  ALT=\"d%5B5%5D=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,' <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D=11 ALIGN=MIDDLE  ALT=\"d%5B6%5D=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and then find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B5%5D ALIGN=MIDDLE  ALT=\"x%5B5%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B6%5D ALIGN=MIDDLE  ALT=\"x%5B6%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the 5th and 6th terms of the quadratic sequence,<BR>\n" );
document.write( "maybe doing mental math while tabulating results, like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%288%2C3%2Cn%2Cx%5Bn%5D%2Cd%5Bn%5D%2C%0D%0A1%2C%22%3F%22%2C1%2C2%2C%22%3F%22%2C3%2C3%2C%22%3F%22%2C5%2C%0D%0A4%2C%22%3F%22%2C7%2C5%2C%22%3F%22%2C9%2C6%2C%22%3F%22%2C11%2C%0D%0A7%2C35%2C%22-%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%288%2C3%2Cn%2Cx%5Bn%5D%2Cd%5Bn%5D%2C%0D%0A1%2C%22%3F%22%2C1%2C2%2C%22%3F%22%2C3%2C3%2C%22%3F%22%2C5%2C%0D%0A4%2C%22%3F%22%2C7%2C5%2C%22%3F%22%2C9%2C6%2C35-11=highlight%2824%29%2C11%2C%0D%0A7%2C35%2C%22-%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%288%2C3%2Cn%2Cx%5Bn%5D%2Cd%5Bn%5D%2C%0D%0A1%2C%22%3F%22%2C1%2C2%2C%22%3F%22%2C3%2C3%2C%22%3F%22%2C5%2C%0D%0A4%2C%22%3F%22%2C7%2C5%2C24-9=highlight%2815%29%2C9%2C6%2C24%2C11%2C%0D%0A7%2C35%2C%22-%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or you could apply the formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bn%5D ALIGN=MIDDLE  ALT=\"d%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > above to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D=2%2A5-1=9 ALIGN=MIDDLE  ALT=\"d%5B5%5D=2%2A5-1=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D=2%2A6-1=11 ALIGN=MIDDLE  ALT=\"d%5B6%5D=2%2A6-1=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Either approach allows you to calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B5%5D ALIGN=MIDDLE  ALT=\"x%5B5%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B6%5D ALIGN=MIDDLE  ALT=\"x%5B6%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the 5th and 6th terms of the quadratic sequence.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5B7%5D=35%2Cx%5B7%5D=x%5B6%5D%2B11%29 ALIGN=MIDDLE  ALT=\"system%28x%5B7%5D=35%2Cx%5B7%5D=x%5B6%5D%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5B7%5D=35%2C35=x%5B6%5D%2B11%29 ALIGN=MIDDLE  ALT=\"system%28x%5B7%5D=35%2C35=x%5B6%5D%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B6%5D=35-11 ALIGN=MIDDLE  ALT=\"x%5B6%5D=35-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5B6%5D=24%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5B6%5D=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5B6%5D=4%2Cx%5B6%5D=x%5B5%5D%2B9%29 ALIGN=MIDDLE  ALT=\"system%28x%5B6%5D=4%2Cx%5B6%5D=x%5B5%5D%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5B6%5D=24%2C24=x%5B5%5D%2B9%29 ALIGN=MIDDLE  ALT=\"system%28x%5B6%5D=24%2C24=x%5B5%5D%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B5%5D=24-9 ALIGN=MIDDLE  ALT=\"x%5B5%5D=24-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5B5%5D=15%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5B5%5D=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "2. Determining the nth term means finding a formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D ALIGN=MIDDLE  ALT=\"x%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and that is where you will show your algebra skills.<BR>\n" );
document.write( "You may want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You could keep working backwards to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "maybe without writing the calculations, just by tabulating the results of your mental math work,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%288%2C3%2Cn%2Cx%5Bn%5D%2Cd%5Bn%5D%2C%0D%0A1%2C-1%2C1%2C2%2C0%2C3%2C3%2C3%2C5%2C%0D%0A4%2C8%2C7%2C5%2C15%2C9%2C6%2C24%2C11%2C%0D%0A7%2C35%2C%22-%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or maybe writing down calculations,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B4%5D=15-d%5B4%5D=15-7=8 ALIGN=MIDDLE  ALT=\"x%5B4%5D=15-d%5B4%5D=15-7=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=8-d%5B3%5D=8-5=3 ALIGN=MIDDLE  ALT=\"x%5B3%5D=8-d%5B3%5D=8-5=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=3-d%5B2%5D=3-3=0 ALIGN=MIDDLE  ALT=\"x%5B2%5D=3-d%5B2%5D=3-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=0-d%5B1%5D=0-1=-1 ALIGN=MIDDLE  ALT=\"x%5B1%5D=0-d%5B1%5D=0-1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or you could calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > using formulas.<BR>\n" );
document.write( "Since the differences form an arithmetic sequence,<BR>\n" );
document.write( "we know how to calculate the sum of all the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > first-differences<BR>\n" );
document.write( "that have to be added to get from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to term number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B1 ALIGN=MIDDLE  ALT=\"k%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D%2Bd%5B2%5D%2B%22...%22%2Bd%5Bk%5D=k%28d%5B1%5D%2Bd%5Bk%5D%29%2F2=k%281%2B2k-1%29%2F2=k%282k%29%2F2=k%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bk%2B1%5D=x%5B1%5D%2Bd%5B1%5D%2Bd%5B2%5D%2B%22...%22%2Bd%5Bk%5D=x%5B1%5D%2Bk%5E2 ALIGN=MIDDLE  ALT=\"x%5Bk%2B1%5D=x%5B1%5D%2Bd%5B1%5D%2Bd%5B2%5D%2B%22...%22%2Bd%5Bk%5D=x%5B1%5D%2Bk%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5Bk%2B1%5D=x%5B1%5D%2Bk%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5Bk%2B1%5D=x%5B1%5D%2Bk%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an easy to calculate formula that you can use to relate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to a generic term number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B1 ALIGN=MIDDLE  ALT=\"k%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B6%2B1%5D=x%5B1%5D%2B6%5E2 ALIGN=MIDDLE  ALT=\"x%5B6%2B1%5D=x%5B1%5D%2B6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B7%5D=x%5B1%5D%2B36 ALIGN=MIDDLE  ALT=\"x%5B7%5D=x%5B1%5D%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=x%5B1%5D%2B36 ALIGN=MIDDLE  ALT=\"35=x%5B1%5D%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35-36=x%5B1%5D ALIGN=MIDDLE  ALT=\"35-36=x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=-1 ALIGN=MIDDLE  ALT=\"x%5B1%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Now, for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D ALIGN=MIDDLE  ALT=\"x%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we can use the simple formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bk%2B1%5D=x%5B1%5D%2Bk%5E2%7D%7D%0D%0Afigured+out+above%2C+with+%7B%7B%7Bn=k%2B1 ALIGN=MIDDLE  ALT=\"x%5Bk%2B1%5D=x%5B1%5D%2Bk%5E2%7D%7D%0D%0Afigured+out+above%2C+with+%7B%7B%7Bn=k%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=n-1 ALIGN=MIDDLE  ALT=\"k=n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D=x%5B1%5D%2B%28n-1%29%5E2 ALIGN=MIDDLE  ALT=\"x%5Bn%5D=x%5B1%5D%2B%28n-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D=-1%2B%28n%5E2-2n%2B1%29 ALIGN=MIDDLE  ALT=\"x%5Bn%5D=-1%2B%28n%5E2-2n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5Bn%5D=n%5E2-2n%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5Bn%5D=n%5E2-2n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );