document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878423>Question 878423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The tenth term of an arithmetic sequence is 20 and the fifth term is 0. Find the sum of the terms from the eighth to the eighteenth, inclusive.    <BR>\n" );
document.write( "Please help! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530070 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=A0%2B%28n-1%29R ALIGN=MIDDLE  ALT=\"A%5Bn%5D=A0%2B%28n-1%29R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B10%5D=A0%2B%2810-1%29R ALIGN=MIDDLE  ALT=\"A%5B10%5D=A0%2B%2810-1%29R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A0%2B9R=20 ALIGN=MIDDLE  ALT=\"A0%2B9R=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B5%5D=A0%2B%285-1%29R ALIGN=MIDDLE  ALT=\"A%5B5%5D=A0%2B%285-1%29R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A0%2B4R=0 ALIGN=MIDDLE  ALT=\"A0%2B4R=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract these two terms,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A0%2B9R-A0-4R=20-0 ALIGN=MIDDLE  ALT=\"A0%2B9R-A0-4R=20-0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5R=20 ALIGN=MIDDLE  ALT=\"5R=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=4 ALIGN=MIDDLE  ALT=\"R=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A0%2B4%284%29=0 ALIGN=MIDDLE  ALT=\"A0%2B4%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A0=-16 ALIGN=MIDDLE  ALT=\"A0=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=-16%2B4%28n-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=-16%2B4%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=-16%2B4n-4 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=-16%2B4n-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=4n-20 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=4n-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28A%5Bn%5D%2C1%2CN%29=sum%28%284n-20%29%2Cn=1%2CN%29 ALIGN=MIDDLE  ALT=\"sum%28A%5Bn%5D%2C1%2CN%29=sum%28%284n-20%29%2Cn=1%2CN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28A%5Bn%5D%2C1%2CN%29=4%2Asum%28n%2Cn=1%2CN%29%2BN%28-20%29 ALIGN=MIDDLE  ALT=\"sum%28A%5Bn%5D%2C1%2CN%29=4%2Asum%28n%2Cn=1%2CN%29%2BN%28-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28A%5Bn%5D%2C1%2CN%29=4%2A%28N%28N%2B1%29%2F2%29%2BN%28-20%29 ALIGN=MIDDLE  ALT=\"sum%28A%5Bn%5D%2C1%2CN%29=4%2A%28N%28N%2B1%29%2F2%29%2BN%28-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28A%5Bn%5D%2C1%2CN%29=2N%28N%2B1%29-20N ALIGN=MIDDLE  ALT=\"sum%28A%5Bn%5D%2C1%2CN%29=2N%28N%2B1%29-20N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28A%5Bn%5D%2C1%2CN%29=2N%5E2%2B2N-20N ALIGN=MIDDLE  ALT=\"sum%28A%5Bn%5D%2C1%2CN%29=2N%5E2%2B2N-20N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BN%5D=sum%28A%5Bn%5D%2C1%2CN%29=2N%5E2-18N ALIGN=MIDDLE  ALT=\"S%5BN%5D=sum%28A%5Bn%5D%2C1%2CN%29=2N%5E2-18N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B18%5D=2%2818%29%5E2-18%2A18 ALIGN=MIDDLE  ALT=\"S%5B18%5D=2%2818%29%5E2-18%2A18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B18%5D=324 ALIGN=MIDDLE  ALT=\"S%5B18%5D=324\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B7%5D=2%287%29%5E2-18%287%29 ALIGN=MIDDLE  ALT=\"S%5B7%5D=2%287%29%5E2-18%287%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%5B7%5D=98-126 ALIGN=MIDDLE  ALT=\"S%5B7%5D=98-126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B7%5D=-28 ALIGN=MIDDLE  ALT=\"S%5B7%5D=-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the the sum of the terms from 8th to 18th is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=S%5B18%5D-S%5B7%5D=324-%28-28%29=352 ALIGN=MIDDLE  ALT=\"S=S%5B18%5D-S%5B7%5D=324-%28-28%29=352\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );