document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209781>Question 1209781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate \sum_{n = 1}^{33} (5n + 2 - 4n + n^2 + 17). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850416 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=850416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red>13717</font>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29 ALIGN=MIDDLE  ALT=\"sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29\"   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=sum%28%28n%5E2+%2B+n+%2B+19%29%2Cn=1%2C33%29 ALIGN=MIDDLE  ALT=\"sum%28%28n%5E2+%2B+n+%2B+19%29%2Cn=1%2C33%29\"   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=%28sum%28n%5E2%2Cn=1%2C33%29%29%2B%28sum%28n%5E%22%22%2Cn=1%2C33%29%29%2B%28sum%2819%5E%22%22%2Cn=1%2C33%29%29 ALIGN=MIDDLE   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=%281%2F6%29%2A33%2A%2833%2B1%29%2A%282%2A33%2B1%29%2B%281%2F2%29%2A33%2A%2833%2B1%29%2B33%2A19 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > See formulas below\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13717 ALIGN=MIDDLE  ALT=\"13717\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29+=+13717 ALIGN=MIDDLE  ALT=\"sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29+=+13717\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Verification using <a  rel=nofollow HREF=\"https://www.wolframalpha.com/input?i=sum+5n+%2B+2+-+4n+%2B+n%5E2+%2B+17+from+n+%3D+1+to+n+%3D+33\">WolframAlpha</a>\r<BR>\n" );
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document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "Formulas Used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28k%5E2%2Ck=1%2Cn%29+=+matrix%281%2C3%2C1%5E2%2B2%5E2%2B3%5E2%2C%22%2B...%2B%22%2Cn%5E2%29+=+%281%2F6%29n%28n%2B1%29%282n%2B1%29 ALIGN=MIDDLE   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=sum%28k%5E%22%22%2Ck=1%2Cn%29+=+matrix%281%2C3%2C1%2B2%2B3%2C%22%2B...%2B%22%2Cn%29+=+%281%2F2%29n%28n%2B1%29 ALIGN=MIDDLE   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=drawing%28220%2C150%2C-5%2C5%2C-5%2C5%2C%0D%0Aarc%28-0.736%2C0.126%2C0.868%2C0.868%2C90%2C180%29%2Cline%28-0.736%2C-0.308%2C0.566%2C-0.308%29%2Carc%280.566%2C-0.742%2C0.868%2C0.868%2C270%2C360%29%2Carc%281.434%2C-0.742%2C0.868%2C0.868%2C180%2C270%29%2Cline%281.434%2C-0.308%2C2.736%2C-0.308%29%2Carc%282.736%2C0.126%2C0.868%2C0.868%2C0%2C90%29%2C%0D%0Alocate%28-4%2C3%2Csum%28c%5E%22%22%2Ck=1%2Cn%29+=+matrix%281%2C3%2Cc%2Bc%2Bc%2C%22%2B...%2B%22%2Cc%29+=+cn%29%2C%0D%0Alocate%28-1%2C-1%2Cmatrix%281%2C4%2C%22n%22%2C%22copies%22%2C%22of%22%2C%22c%22%29%29%2C%0D%0Alocate%28-1%2C-2%2Cmatrix%281%2C2%2C%22being%22%2C%22added%22%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where c is a constant<BR>\n" );
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