document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694516>Question 694516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the nth term of 1/2, 2/3, 3/4, 4/5<BR>\n" );
document.write( "can you please tell me how to find it? not only the answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427994 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 1st term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so when <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+1+ ALIGN=MIDDLE  ALT=\"+n+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( 1st term ) , then you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+1+ ALIGN=MIDDLE  ALT=\"+n+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+2+ ALIGN=MIDDLE  ALT=\"+n+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+3+ ALIGN=MIDDLE  ALT=\"+n+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+4+ ALIGN=MIDDLE  ALT=\"+n+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "So you can see that whatever you choose for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the nth term will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Suppose I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+399+ ALIGN=MIDDLE  ALT=\"+n+=+399+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the 399th term<BR>\n" );
document.write( "will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+399+%2B+1+%29+=+1+%2F+400+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+399+%2B+1+%29+=+1+%2F+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Suppose the problem had been to find the nth term<BR>\n" );
document.write( "of 1/2, 1/4, 1/6, 1/8, etc<BR>\n" );
document.write( "The 1st term is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but the<BR>\n" );
document.write( "2nd term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the<BR>\n" );
document.write( "3rd term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+n+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+n+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, etc<BR>\n" );
document.write( "So, it keeps changing, and I still can't answer what <BR>\n" );
document.write( "the nth term will be.<BR>\n" );
document.write( "------------------ <BR>\n" );
document.write( "What if I say that the nth term is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282n%29+ ALIGN=MIDDLE  ALT=\"+1%2F%282n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+1+ ALIGN=MIDDLE  ALT=\"+n+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282n%29+ ALIGN=MIDDLE  ALT=\"+1%2F%282n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+2+ ALIGN=MIDDLE  ALT=\"+n+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282n%29+ ALIGN=MIDDLE  ALT=\"+1%2F%282n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+3+ ALIGN=MIDDLE  ALT=\"+n+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "etc. ,so I can say that the nth term of 1/2, 1/4, 1/6, 1/8, etc<BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%282n%29+ ALIGN=MIDDLE  ALT=\"+1%2F%282n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "It's a little tricky coming up with the expression that <BR>\n" );
document.write( "is general for all the terms, but this is the idea.<BR>\n" );
document.write( "Hope it helps<BR>\n" );
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