document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037881>Question 1037881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an explicit formula for the sequence determined by each recursion formula. \r<BR>\n" );
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document.write( "1)t&#8321; = 1; tn = tn-1 -4\r<BR>\n" );
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document.write( "2)t&#8321; = 20; tn = (-1/2)tn-1\r<BR>\n" );
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document.write( "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 #652660 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=652660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=1 ALIGN=MIDDLE  ALT=\"t%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D=t%5Bn-1%5D-4 ALIGN=MIDDLE  ALT=\"t%5Bn%5D=t%5Bn-1%5D-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is an arithmetic sequence with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and common difference <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-1 ALIGN=MIDDLE  ALT=\"d=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For arithmetic sequences the explicit formula is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D=t%5B1%5D%2Bd%28n-1%29 ALIGN=MIDDLE  ALT=\"t%5Bn%5D=t%5B1%5D%2Bd%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For the particular arithmetic sequence in this problem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t%5Bn%5D=1-4%28n-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t%5Bn%5D=1-4%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=20 ALIGN=MIDDLE  ALT=\"t%5B1%5D=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D=%28-1%2F2%29t%5Bn-1%5D ALIGN=MIDDLE  ALT=\"t%5Bn%5D=%28-1%2F2%29t%5Bn-1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is a geometric sequence with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and common ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-1%2F2 ALIGN=MIDDLE  ALT=\"r=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For geometric sequences the explicit formula is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D=t%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"t%5Bn%5D=t%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For the particular arithmetic sequence in this problem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t%5Bn%5D=20%2A%28-1%2F2%29%5E%28n-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t%5Bn%5D=20%2A%28-1%2F2%29%5E%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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