document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629829>Question 629829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the common difference of a 43-term arithmetic sequence where the first term is -13 and the sum is 9,374?\r<BR>\n" );
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document.write( "What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10?\r<BR>\n" );
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document.write( "Provide an example of an arithmetic series which totals zero. Using complete sentences, explain how you created the example\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396541 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the common difference of a 43-term arithmetic sequence where the first term is -13 and the sum is 9,374? \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5Bn%5D%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=S%5B43%5D+=+%2843%2F2%29%28a%5B1%5D+%2B+a%5B43%5D%29 ALIGN=MIDDLE  ALT=\"S%5B43%5D+=+%2843%2F2%29%28a%5B1%5D+%2B+a%5B43%5D%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=9374+=+%2843%2F2%29%28-13+%2B+a%5B43%5D%29 ALIGN=MIDDLE  ALT=\"9374+=+%2843%2F2%29%28-13+%2B+a%5B43%5D%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=436+=+-13+%2B+a%5B43%5D ALIGN=MIDDLE  ALT=\"436+=+-13+%2B+a%5B43%5D\"   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=a%5B43%5D+=+449 ALIGN=MIDDLE  ALT=\"a%5B43%5D+=+449\"   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=a%5Bn%5D+=+a%5B1%5D+%2B+%28n-1%29d ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D+%2B+%28n-1%29d\"   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=a%5B43%5D+=+-13+%2B+%2843-1%29d ALIGN=MIDDLE  ALT=\"a%5B43%5D+=+-13+%2B+%2843-1%29d\"   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=449+=+-13+%2B+42d ALIGN=MIDDLE  ALT=\"449+=+-13+%2B+42d\"   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=highlight%28d+=+11%29 ALIGN=MIDDLE  ALT=\"highlight%28d+=+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The common difference is 11\r<BR>\n" );
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document.write( "What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10? \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5B1%5D+%2B+%28n-1%29d ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D+%2B+%28n-1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B12%5D+=+a%5B1%5D+%2B+%2812-1%29%28-10%29 ALIGN=MIDDLE  ALT=\"a%5B12%5D+=+a%5B1%5D+%2B+%2812-1%29%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+=+a%5B1%5D+-+110 ALIGN=MIDDLE  ALT=\"13+=+a%5B1%5D+-+110\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+123 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+123\"   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=S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B12%5D+=+%2812%2F2%29%28123+%2B+13%29 ALIGN=MIDDLE  ALT=\"S%5B12%5D+=+%2812%2F2%29%28123+%2B+13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B12%5D+=+highlight%28816%29 ALIGN=MIDDLE  ALT=\"s%5B12%5D+=+highlight%28816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Provide an example of an arithmetic series which totals zero. Using complete sentences, explain how you created the example<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28-8%29+%2B+%28-6%29+%2B+%28-4%29+%2B+%28-2%29+%2B+0+%2B+2+%2B+4+%2B+6+%2B+8%29 ALIGN=MIDDLE  ALT=\"highlight%28%28-8%29+%2B+%28-6%29+%2B+%28-4%29+%2B+%28-2%29+%2B+0+%2B+2+%2B+4+%2B+6+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an example of an arithmetic series which totals zero. <BR>\n" );
document.write( "The term of the arithmetic sequence should include zero and multiples of a common difference. The first and last term should be numerically equal but opposite in sign.<BR>\n" );
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