document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100069>Question 100069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need rule for nth term - HELP!!!<BR>\n" );
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document.write( "1/2,3,11/2,8,21/2.... what is the rule for the nth term\r<BR>\n" );
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document.write( "d = -12 and a1 (1 is subscrpt) =80 - what is the rule for the nth term<BR>\n" );
document.write( "not sure of my answers<BR>\n" );
document.write( "Thanks<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 #72866 by </B><A HREF=/tutors/aboutme.mpl?userid=Adam><B>Adam(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Adam><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=72866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2,3,11/2,8,21/2...\r<BR>\n" );
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document.write( "Since most of the terms are in \"halves\". Good way how to start this problem is by coverting the integers in it into halves.It's generally good to have 1 type of numbers in pronlem either integers or fractions etc...\r<BR>\n" );
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document.write( "So 3 = 3*2/2 and 8= 8*2/2 , thus 3 = 6/2 and 8 = 16/2 and we get 1/2 , 6/2 , 11/2 , 16/2 , 21/2 ...Easy to see that every numerator is increased by 5.\r<BR>\n" );
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document.write( "It is arithmetic sequence. Formula for n-th term of arithmetic sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=+A1%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"A%5Bn%5D=+A1%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > where d is increment you want to add each time.\r<BR>\n" );
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document.write( "We can write : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=1%2F2%2B5%2F2%2A%28n-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=1%2F2%2B5%2F2%2A%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D+=+%281%2B5%2A%28n-1%29%29%2F2 ALIGN=MIDDLE  ALT=\"A%5Bn%5D+=+%281%2B5%2A%28n-1%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Concerning your second problem I am quite sure you'll be able to finish it yourself. Good luck! \r<BR>\n" );
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