document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98709>Question 98709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLEASE!!! - Don't think I get it <BR>\n" );
document.write( "write the frist 6 terms of the sequence:<BR>\n" );
document.write( "1.an = n^3-1   (first n is subscript)<BR>\n" );
document.write( "2.an = (n-1)^2 (first n is subscrpt)\r<BR>\n" );
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document.write( "Also- I need help with summation notation:<BR>\n" );
document.write( "4+ 8+ +12+ 16 + 20 - write in summation notation<BR>\n" );
document.write( "-7-8-9-10-11  in summation<BR>\n" );
document.write( "5/6+6/7+7/8+8/9+...   summation notation\r<BR>\n" );
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document.write( "Thanks so very much<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 #71841 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=71841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sequence is just some (ordered) list of numbers(terms).The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D+=+n%5E3-1 ALIGN=MIDDLE  ALT=\"A%5Bn%5D+=+n%5E3-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > just tells you how to get n-th term. If you want to get first term, substitute 1 for n, so you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+1%5E3-1+=+1-1+=+0 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+1%5E3-1+=+1-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , same with second term : substitute 2, in order to get : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D+=+2%5E3-1+=+8-1+=+7 ALIGN=MIDDLE  ALT=\"A%5B2%5D+=+2%5E3-1+=+8-1+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Similiarly with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D+=+%28n-1%29%5E2 ALIGN=MIDDLE  ALT=\"A%5Bn%5D+=+%28n-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1st : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+%281-1%29%5E2+=+0%5E2+=+0 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+%281-1%29%5E2+=+0%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D+=+%282-1%29%5E2+=+1%5E2+=+1 ALIGN=MIDDLE  ALT=\"A%5B2%5D+=+%282-1%29%5E2+=+1%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3rd : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D+=+%283-1%29%5E2+=+2%5E2+=+4 ALIGN=MIDDLE  ALT=\"A%5B3%5D+=+%283-1%29%5E2+=+2%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and so on...\r<BR>\n" );
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document.write( "Summation- you are just summing terms of sequence. For instance, if you have : <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28n%5E3-1%2Cn=1%2C6%29 ALIGN=MIDDLE  ALT=\"sum%28n%5E3-1%2Cn=1%2C6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " , same like in the first problem, !but summed! So not 0 , 7 , 25 , 63 , but 0+7+25+63 = 95.(You are substituting through n=1 to n=6 and summing together.\r<BR>\n" );
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document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28+n+%2C+n=0+%2C5%29 ALIGN=MIDDLE  ALT=\"sum%28+n+%2C+n=0+%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0+1+2+3+4+5 = 15<BR>\n" );
document.write( "given 4+8+12+16+20 you can rewrite as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%284%2An%2Cn+=+1+%2C+5%29 ALIGN=MIDDLE  ALT=\"sum%284%2An%2Cn+=+1+%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-7-8-9-10-10-11 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28-n%2Cn=7%2C+11%29 ALIGN=MIDDLE  ALT=\"sum%28-n%2Cn=7%2C+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and finally 5/6+6/7+7/8+8/9+... as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28n%2F%28n%2B1%29%2Cn+=+5+%2C+infinity%29 ALIGN=MIDDLE  ALT=\"sum%28n%2F%28n%2B1%29%2Cn+=+5+%2C+infinity%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "-method of rewriting into summation notation is always based on some preliminary thought, as multiples of 4 etc.. so go through it and give some thought about it... <BR>\n" );
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