document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369787>Question 369787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suspose that we have an arthmetic sequence. Suppose that we know that the first term is three and the 52nd term is 142.<BR>\n" );
document.write( "Find the common difference.<BR>\n" );
document.write( "FInd the 89th term. Write your answer as a mixed number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263511 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in an arithmetic sequence, means that each term changes by a constant amount, delta<BR>\n" );
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document.write( "The nth term is defined as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Adelta ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Adelta\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "from this formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta=%28a%5Bn%5D-a%5B1%5D%29%2F%28n-1%29 ALIGN=MIDDLE  ALT=\"delta=%28a%5Bn%5D-a%5B1%5D%29%2F%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==<BR>\n" );
document.write( "So 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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B52%5D=142 ALIGN=MIDDLE  ALT=\"a%5B52%5D=142\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta=%28142-3%29%2F%2852-1%29=139%2F51 ALIGN=MIDDLE  ALT=\"delta=%28142-3%29%2F%2852-1%29=139%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B89%5D=3%2B%2889-1%29%2A139%2F51=3%2B88%2A139%2F51 ALIGN=MIDDLE  ALT=\"a%5B89%5D=3%2B%2889-1%29%2A139%2F51=3%2B88%2A139%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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