document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108399>Question 1108399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -3, -2, x, -6, y................is a quadratic sequence.<BR>\n" );
document.write( "determine the value of x and y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723424 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=723424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> general form of quadratic sequence is<BR>\n" );
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document.write( "an^2 + bn + c, where a,b,c are real numbers<BR>\n" );
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document.write( "for n=1, a + b + c = -3<BR>\n" );
document.write( "for n=2, 4a + 2b + c = -2<BR>\n" );
document.write( "for n=3, 9a + 3b + c = x<BR>\n" );
document.write( "for n=4, 16a + 4b + c = -6<BR>\n" );
document.write( "for n=5, 25a + 5b + c = y<BR>\n" );
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document.write( "we will use the following 3 equations with 3 unknowns<BR>\n" );
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document.write( "a + b + c = -3<BR>\n" );
document.write( "4a + 2b + c = -2<BR>\n" );
document.write( "16a + 4b + c = -6<BR>\n" );
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document.write( "use any linear equation solver for 3 equations with 3 unknows<BR>\n" );
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document.write( "a = -1, b = 4, c = -6<BR>\n" );
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document.write( "the equation for the nth term is<BR>\n" );
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document.write( "-n^2 +4b -6<BR>\n" );
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document.write( "for n = 1, we have -1 +4 -6 = -3<BR>\n" );
document.write( "for n = 2, we have -4 +8 -6 = -2<BR>\n" );
document.write( "for n = 3, we have -9 +12 -6 = -3<BR>\n" );
document.write( "for n = 4, we have -16 +16 -6 = -6<BR>\n" );
document.write( "for n = 5, we have -25 +20 -6 = -11<BR>\n" );
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document.write( "x = -3 and y = -11<BR>\n" );
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