document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933368>Question 933368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An = &#61563;-3, 2,7,12,17,….&#61565;<BR>\n" );
document.write( "a-	Determine a138<BR>\n" );
document.write( "b-	Determine the first 40 terms of an\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 #566765 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=-3 ALIGN=MIDDLE  ALT=\"a%5B1%5D=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=2 ALIGN=MIDDLE  ALT=\"a%5B2%5D=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=7 ALIGN=MIDDLE  ALT=\"a%5B3%5D=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B4%5D=12 ALIGN=MIDDLE  ALT=\"a%5B4%5D=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B5%5D=17 ALIGN=MIDDLE  ALT=\"a%5B5%5D=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and so on, following the presumed pattern where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=5%2Ba%5Bn-1%5D ALIGN=MIDDLE  ALT=\"a%5Bn%5D=5%2Ba%5Bn-1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "this is an arithmetic sequence,<BR>\n" );
document.write( "with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=-3 ALIGN=MIDDLE  ALT=\"a%5B1%5D=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and common difference <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=5 ALIGN=MIDDLE  ALT=\"d=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For an arithmetic sequence,<BR>\n" );
document.write( "term number {{n}}} is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the sum of the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28n%2F2%29%282a%5B1%5D%2B%28n-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28n%2F2%29%282a%5B1%5D%2B%28n-1%29%2Ad%29\"   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%5B138%5D=-3%2B%28138-1%29%2A5=-3%2B137%2A5=-3%2B685=highlight%28682%29 ALIGN=MIDDLE  ALT=\"a%5B138%5D=-3%2B%28138-1%29%2A5=-3%2B137%2A5=-3%2B685=highlight%28682%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B40%5D=%2840%2F2%29%282%28-3%29%2B%2840-1%29%2A5%29=20%28-6%2B39%2A5%29+=20%28-6%2B195%29=20%2A189=highlight%283780%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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