document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157358>Question 157358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My daughter has 2 homework problems that she asked for my help on but I am stumped.  The directions are to add 3 terms to each pattern and then write an algebraic expression that describes the pattern.  She can add the terms to the pattern (see the last 3 numbers in each line below) but we are stumped on the expression that goes with it.\r<BR>\n" );
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document.write( "Number 1 - 1, 8, 27, 64, 125, 216, 343<BR>\n" );
document.write( "Number 2 - 2, 5, 14, 41, 122, 365, 1094\r<BR>\n" );
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document.write( "Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122110 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number 1 - 1, 8, 27, 64, 125, 216, 343<BR>\n" );
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document.write( "The numbers above are the cubes of 1, 2, 3, etc.  The next 3 terms are 512, 729, 1000.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Term+n+=+n%5E3 ALIGN=MIDDLE  ALT=\"Term+n+=+n%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Term n = n cubed.<BR>\n" );
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document.write( "Number 2 - 2, 5, 14, 41, 122, 365, 1094 <BR>\n" );
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document.write( "2, 5, 14, 41, 122, 365, 1094 <BR>\n" );
document.write( "Each term is the term before it + 3^n<BR>\n" );
document.write( "The next 3 terms are 3281, 9842, 29525<BR>\n" );
document.write( "I'll find the algebraic expression later.<BR>\n" );
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document.write( "OK, each term in the sum of n terms of 3 to the power of 1 to n, + 1.<BR>\n" );
document.write( "The algebraic for the sum of n terms is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sum+=+t1%2A%281-3%5En%29%2F%281-3%29 ALIGN=MIDDLE  ALT=\"Sum+=+t1%2A%281-3%5En%29%2F%281-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Each term is that plus 1, so it's <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B%281-3%5En%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"1%2B%281-3%5En%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's not simple.\r<BR>\n" );
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