document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138736>Question 1138736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sequence50,15,40,59 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756541 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "sequence <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59+ ALIGN=MIDDLE  ALT=\"59+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first find differences to see what formula you need\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59 ALIGN=MIDDLE  ALT=\"59\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35 ALIGN=MIDDLE  ALT=\"35\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19 ALIGN=MIDDLE  ALT=\"19\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "...........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > -><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3rd ALIGN=MIDDLE  ALT=\"3rd\"   DISABLED_style= \"max-width:90%; height:auto;\" > difference->you need<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3rd ALIGN=MIDDLE  ALT=\"3rd\"   DISABLED_style= \"max-width:90%; height:auto;\" > degree function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=an%5E3%2Bbn%5E2%2Bcn%2Bd ALIGN=MIDDLE  ALT=\"a%5Bn%5D=an%5E3%2Bbn%5E2%2Bcn%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use given terms, set up system of four equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=50 ALIGN=MIDDLE  ALT=\"a%5B1%5D=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=1 ALIGN=MIDDLE  ALT=\"n=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=a%2A1%5E3%2Bb%2A1%5E2%2Bc%2A1%2Bd ALIGN=MIDDLE  ALT=\"50=a%2A1%5E3%2Bb%2A1%5E2%2Bc%2A1%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=a%2Bb%2Bc%2Bd ALIGN=MIDDLE  ALT=\"50=a%2Bb%2Bc%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=15 ALIGN=MIDDLE  ALT=\"a%5B2%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=2 ALIGN=MIDDLE  ALT=\"n=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15=a%2A2%5E3%2Bb%2A2%5E2%2Bc%2A2%2Bd ALIGN=MIDDLE  ALT=\"15=a%2A2%5E3%2Bb%2A2%5E2%2Bc%2A2%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15=8a%2B4b%2B2c%2Bd ALIGN=MIDDLE  ALT=\"15=8a%2B4b%2B2c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=40 ALIGN=MIDDLE  ALT=\"a%5B3%5D=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=a%2A3%5E3%2Bb%2A3%5E2%2Bc%2A3%2Bd ALIGN=MIDDLE  ALT=\"40=a%2A3%5E3%2Bb%2A3%5E2%2Bc%2A3%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=27a%2B9b%2B3c%2Bd ALIGN=MIDDLE  ALT=\"40=27a%2B9b%2B3c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B4%5D=59 ALIGN=MIDDLE  ALT=\"a%5B4%5D=59\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=4 ALIGN=MIDDLE  ALT=\"n=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59=a%2A4%5E3%2Bb%2A4%5E2%2Bc%2A4%2Bd ALIGN=MIDDLE  ALT=\"59=a%2A4%5E3%2Bb%2A4%5E2%2Bc%2A4%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59=64a%2B16b%2B4c%2Bd ALIGN=MIDDLE  ALT=\"59=64a%2B16b%2B4c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.4\r<BR>\n" );
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document.write( "solve the system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=a%2Bb%2Bc%2Bd ALIGN=MIDDLE  ALT=\"50=a%2Bb%2Bc%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15=8a%2B4b%2B2c%2Bd ALIGN=MIDDLE  ALT=\"15=8a%2B4b%2B2c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=27a%2B9b%2B3c%2Bd ALIGN=MIDDLE  ALT=\"40=27a%2B9b%2B3c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59=64a%2B16b%2B4c%2Bd ALIGN=MIDDLE  ALT=\"59=64a%2B16b%2B4c%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......eq.4<BR>\n" );
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document.write( "Solve the system of 4 equations using your favorite method.\r<BR>\n" );
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document.write( "In this example, the results are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-11 ALIGN=MIDDLE  ALT=\"a+=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+96 ALIGN=MIDDLE  ALT=\"b+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-246 ALIGN=MIDDLE  ALT=\"c+=+-246\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+211 ALIGN=MIDDLE  ALT=\"d+=+211\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and your formula is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=-11n%5E3%2B96n%5E2-246n%2B211 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=-11n%5E3%2B96n%5E2-246n%2B211\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );