document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117346>Question 117346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a maths c/w on Pythagorean triples (gcse level) and we are using the quadratic formula:<BR>\n" );
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document.write( "a + d (n-1) + 0.5 c (n-1) (n-2)<BR>\n" );
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document.write( "for the sequence of Pythagorean triples multiplied by 4.<BR>\n" );
document.write( " where:<BR>\n" );
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document.write( " a = first term<BR>\n" );
document.write( " d = first difference<BR>\n" );
document.write( " c = second difference<BR>\n" );
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document.write( "length of middle side: 16, 48, 96, 160, 240<BR>\n" );
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document.write( "I have done so far:<BR>\n" );
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document.write( " a = 16<BR>\n" );
document.write( " d = 32<BR>\n" );
document.write( " c = 16<BR>\n" );
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document.write( "substitute:<BR>\n" );
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document.write( "16 + 32 (n-1) + 0.5 * 16 ( n-1) (n-2)<BR>\n" );
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document.write( "giving me: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B+32+n+-32+%2B+16n%5E2+-+48+n+%2B+32 ALIGN=MIDDLE  ALT=\"16%2B+32+n+-32+%2B+16n%5E2+-+48+n+%2B+32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "simplified: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16n%5E2+-16n+%2B+16 ALIGN=MIDDLE  ALT=\"16n%5E2+-16n+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "BUT when i am checking it against the third term (96) the 16 at the end of the equation is <BR>\n" );
document.write( "left as extra and the answer I seem to get is 112 (an extra plus 16)<BR>\n" );
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document.write( "please help me urgently </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86185 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=86185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not completely sure of what you are doing in this problem, but it appears to me that you<BR>\n" );
document.write( "have made a mistake as noted below. If this answer doesn't help you, please re-post the<BR>\n" );
document.write( "problem and maybe another tutor will be able to get you through it. <BR>\n" );
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document.write( "You wrote:<BR>\n" );
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document.write( "I have a maths c/w on Pythagorean triples (gcse level) and we are using the quadratic formula:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a + d (n-1) + 0.5 c (n-1) (n-2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "for the sequence of Pythagorean triples multiplied by 4.<BR>\n" );
document.write( " where:<BR>\n" );
document.write( ".<BR>\n" );
document.write( " a = first term<BR>\n" );
document.write( " d = first difference<BR>\n" );
document.write( " c = second difference<BR>\n" );
document.write( ".<BR>\n" );
document.write( "length of middle side: 16, 48, 96, 160, 240<BR>\n" );
document.write( ".<BR>\n" );
document.write( "I have done so far:<BR>\n" );
document.write( ".<BR>\n" );
document.write( " a = 16<BR>\n" );
document.write( " d = 32<BR>\n" );
document.write( " c = 16<BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+32+%28n-1%29+%2B+0.5+%2A16+%28+n-1%29%28n-2%29 ALIGN=MIDDLE  ALT=\"16+%2B+32+%28n-1%29+%2B+0.5+%2A16+%28+n-1%29%28n-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <==== here it appears that you forgot to use the 0.5 multiplier<BR>\n" );
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document.write( "giving me: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+32n+-+32+%2B+16n%5E2+-+48n+%2B+32 ALIGN=MIDDLE  ALT=\"16+%2B+32n+-+32+%2B+16n%5E2+-+48n+%2B+32\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== the 0.5 multiplier would make this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+32n+-+32+%2B+8n%5E2+-+24n+%2B+16 ALIGN=MIDDLE  ALT=\"16+%2B+32n+-+32+%2B+8n%5E2+-+24n+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "simplified: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16n%5E2+-16n+%2B+16 ALIGN=MIDDLE  ALT=\"16n%5E2+-16n+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== this then should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8n%5E2+%2B+12n ALIGN=MIDDLE  ALT=\"8n%5E2+%2B+12n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you complete the problem correctly </SPAN>\n" );
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