document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696868>Question 696868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi i'm confused about this question it asks the third term of an arithmitic sequence is 4 and the sum of the first 8 term is 36. write down the first 8 terms of the sequence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429409 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=429409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The nth term of an arithmetic sequence is<BR>\n" );
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( "The third term is 4,therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B3%5D+=+a%5B1%5D+%2B+%283-1%29d+ ALIGN=MIDDLE  ALT=\"+a%5B3%5D+=+a%5B1%5D+%2B+%283-1%29d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+a%5B1%5D+%2B+2d+ ALIGN=MIDDLE  ALT=\"+4+=+a%5B1%5D+%2B+2d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The sum of the first n terms of an arithmetic sequence is<BR>\n" );
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( "The sum of the first 8 term is 36,therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S%5B8%5D+=+%288%2F2%29%28a%5B1%5D+%2B+a%5B8%5D%29 ALIGN=MIDDLE  ALT=\"+S%5B8%5D+=+%288%2F2%29%28a%5B1%5D+%2B+a%5B8%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+4%28a%5B1%5D+%2B+a%5B8%5D%29 ALIGN=MIDDLE  ALT=\"+36+=+4%28a%5B1%5D+%2B+a%5B8%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,divide by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+a%5B1%5D+%2B+a%5B8%5D ALIGN=MIDDLE  ALT=\"+9+=+a%5B1%5D+%2B+a%5B8%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B8%5D+=+a%5B1%5D+%2B+7d ALIGN=MIDDLE  ALT=\"+a%5B8%5D+=+a%5B1%5D+%2B+7d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+a%5B1%5D+%2B++a%5B1%5D+%2B+7d+ ALIGN=MIDDLE  ALT=\"+9+=+a%5B1%5D+%2B++a%5B1%5D+%2B+7d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+2a%5B1%5D+%2B+7d+ ALIGN=MIDDLE  ALT=\"+9+=+2a%5B1%5D+%2B+7d+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+a%5B1%5D+%2B+2d ALIGN=MIDDLE  ALT=\"4+=+a%5B1%5D+%2B+2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+2a%5B1%5D+%2B+7d ALIGN=MIDDLE  ALT=\"9+=+2a%5B1%5D+%2B+7d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the first equation by -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+=+-2a%5B1%5D+-+4d ALIGN=MIDDLE  ALT=\"-8+=+-2a%5B1%5D+-+4d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+2a%5B1%5D+%2B+7d ALIGN=MIDDLE  ALT=\"9+=+2a%5B1%5D+%2B+7d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Add the two equations<BR>\n" );
document.write( "1 = 3d<BR>\n" );
document.write( "d = 1/3, substitute in the first equation and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D ALIGN=MIDDLE  ALT=\"+a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+a%5B1%5D+%2B+2%2F3 ALIGN=MIDDLE  ALT=\"4+=+a%5B1%5D+%2B+2%2F3\"   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+=+10%2F3 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,add 1/3 to get the next terms\r<BR>\n" );
document.write( "\n" );
document.write( "The first 8 terms are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4 ALIGN=MIDDLE  ALT=\"+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F3 ALIGN=MIDDLE  ALT=\"13%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F3 ALIGN=MIDDLE  ALT=\"14%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F3 ALIGN=MIDDLE  ALT=\"16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F3 ALIGN=MIDDLE  ALT=\"17%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );