document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873472>Question 873472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of 75 terms when the sequence is 5, 12, 29, 41 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527379 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5, 12, 29, 41\r<BR>\n" );
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document.write( "an^3+bn^2+c*n+d=5<BR>\n" );
document.write( "a+b+c+d=5<BR>\n" );
document.write( "A*2^3+B*2^2+2C+D=12<BR>\n" );
document.write( "8a+4b+2c+d=12<BR>\n" );
document.write( "A*3^3+B*3^2+3C+D=29<BR>\n" );
document.write( "27a+9b+3c+d=29<BR>\n" );
document.write( "A*4^3+B*4^2+4C+D=41<BR>\n" );
document.write( "64a+16b4c+d=41<BR>\n" );
document.write( "a+b+c+d=5,<BR>\n" );
document.write( "8a+4b+2c+d=12,<BR>\n" );
document.write( "27a+9b+3c+d=29,<BR>\n" );
document.write( "64a+16b+4c+d=41<BR>\n" );
document.write( "a = -5/2,   b = 20,   c = -71/2,   d = 23\r<BR>\n" );
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document.write( "-(5/2)*n^3+20*n^2-(71/2)*n+23=s<BR>\n" );
document.write( "when n=1 s=5<BR>\n" );
document.write( "when n=2 s=12<BR>\n" );
document.write( "when n=3 s=29<BR>\n" );
document.write( "when n=4 s=41<BR>\n" );
document.write( "5, 12, 29, 41<BR>\n" );
document.write( "here are the first 75 terms<BR>\n" );
document.write( "5,12,29,41,33,-10,-103,-261,-499,-832,-1275,-1843,-2551,-3414,-4447,-5665,-7083,-8716,-10579,-12687,-15055,-17698,-20631,-23869,-27427,-31320,-35563,-40171,-45159,-50542,-56335,-62553,-69211,-76324,-83907,-91975,-100543,-109626,-119239,-129397,-140115,-151408,-163291,-175779,-188887,-202630,-217023,-232081,-247819,-264252,-281395,-299263,-317871,-337234,-357367,-378285,-400003,-422536,-445899,-470107,-495175,-521118,-547951,-575689,-604347,-633940,-664483,-695991,-728479,-761962,-796455,-831973,-868531,-906144,-944827<BR>\n" );
document.write( "total of 75 terms<BR>\n" );
document.write( "-17536700<BR>\n" );
document.write( "or <BR>\n" );
document.write( "a=-25/6<BR>\n" );
document.write( "b=35<BR>\n" );
document.write( "c= -473/6<BR>\n" );
document.write( "d= 63<BR>\n" );
document.write( "15,12,29,41,23,-50.0,-203,-461.0,-849,-1392.0,-2115.0,-3043.0,-4201.0,-5614,-7307.0,-9305.0,-11633.0,-14316,-17379,-20847.0,-24745,-29098.0,-33931,-39269.0,-45137.0,-51560.0,-58563,-66171,-74409.0,-83302.0,-92875,-103153.0,-114161,-125924.0,-138467,-151815,-165993.0,-181026,-196939.0,-213757.0,-231505.0,-250208,-269891,-290579.0,-312297,-335070,-358923.0,-383881.0,-409969,-437212.0,-465635,-495263.0,-526121,-558234,-591627.0,-626325,-662353,-699736.0,-738499,-778667.0,-820265.0,-863318,-907851.0,-953889.0,-1001457.0,-1050580,-1101283,-1153591.0,-1207529,-1263122,-1320395.0,-1379373,-1440081,-1502544.0,-1566787.0,<BR>\n" );
document.write( "total =-29042950 </SPAN>\n" );
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