document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598451>Question 598451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the nth term of the arithmetic sequence a[7]=34, a[18]=122? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457412 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the common difference is essentially the slope of an arithmetic progression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B7%5D=34 ALIGN=MIDDLE  ALT=\"a%5B7%5D=34\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B18%5D=122 ALIGN=MIDDLE  ALT=\"a%5B18%5D=122\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "leads us to \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Ad=%28a%5Bn%5D-a%5Bm%5D%29%2F%28n-m%29=%28122-34%29%2F%2818-7%29=8%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Ad=%28a%5Bn%5D-a%5Bm%5D%29%2F%28n-m%29=%28122-34%29%2F%2818-7%29=8%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can rewrite the nth term as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Aa%5B1%5D=a%5Bn%5D-%28n-1%29d%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Aa%5B1%5D=a%5Bn%5D-%28n-1%29d%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now using the 7th term we write\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Aa%5B1%5D=34-%287-1%298=-14%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Aa%5B1%5D=34-%287-1%298=-14%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "nth term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=-14%2B%28n-1%298 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=-14%2B%28n-1%298\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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