document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893368>Question 893368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the general term for the following sequences:\r<BR>\n" );
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document.write( "1. 1/2, 1/3, 1/4, 1/5, ...<BR>\n" );
document.write( "2. 1, 8, 27, 64, ...<BR>\n" );
document.write( "3. 7, 7, 7, 7, ...<BR>\n" );
document.write( "4. 1/11, 2/12, 3/13, 4/14, ...<BR>\n" );
document.write( "5. 9, 99, 999, ...<BR>\n" );
document.write( "6. 1, 1, 2, 3, 5, 8, ...<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 #541226 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number 2:\r<BR>\n" );
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document.write( "Factorize each term.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >....?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=2%5E3 ALIGN=MIDDLE  ALT=\"8=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=2%5E3 ALIGN=MIDDLE  ALT=\"27=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=8%2A8=2%5E3%2A2%5E3 ALIGN=MIDDLE  ALT=\"64=8%2A8=2%5E3%2A2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E6=4%2A4%2A4=4%5E3 ALIGN=MIDDLE  ALT=\"2%5E6=4%2A4%2A4=4%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rule appears for any n term, general term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E3 ALIGN=MIDDLE  ALT=\"n%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Number 6:\r<BR>\n" );
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document.write( "The sequence depends on the first two terms.  The n=1 and the n=2 terms are both 1.  The sequence follows as any n term is the n-1 term plus the n-2 term.  If you want to call any term as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5Bn%5D ALIGN=MIDDLE  ALT=\"T%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then any n term starting at n=3 will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5Bn%5D=T%5Bn-1%5D%2BT%5Bn-2%5D ALIGN=MIDDLE  ALT=\"T%5Bn%5D=T%5Bn-1%5D%2BT%5Bn-2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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