document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754253>Question 754253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is the formula Asub(n)=-4n(n-1) Explicit or recursive? Find the first 5 terms of the sequence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458917 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=458917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is explicit since you can find any term you want by plugging in that value for n.\r<BR>\n" );
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document.write( "Ex: You can find the 10th term by plugging in n = 10. You do NOT need to know the previous term(s) to find the 10th term. So it's NOT recursive.\r<BR>\n" );
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document.write( "Let's find the first 5 terms\r<BR>\n" );
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document.write( "Term #1\r<BR>\n" );
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document.write( "Asub(n) = -4n(n-1)\r<BR>\n" );
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document.write( "Asub(1) = -4(1)(1-1) ... plug in n = 1\r<BR>\n" );
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document.write( "Asub(1) = -4(1)(0)\r<BR>\n" );
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document.write( "Asub(1) = -4(0)\r<BR>\n" );
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document.write( "Asub(1) = 0\r<BR>\n" );
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document.write( "Term #1 is 0\r<BR>\n" );
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document.write( "Term #2\r<BR>\n" );
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document.write( "Asub(n) = -4n(n-1)\r<BR>\n" );
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document.write( "Asub(2) = -4(2)(2-1) ... plug in n = 2\r<BR>\n" );
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document.write( "Asub(2) = -4(2)(1)\r<BR>\n" );
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document.write( "Asub(2) = -8(1)\r<BR>\n" );
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document.write( "Asub(2) = -8\r<BR>\n" );
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document.write( "Term #2 is -8\r<BR>\n" );
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document.write( "Term #3\r<BR>\n" );
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document.write( "Asub(n) = -4n(n-1)\r<BR>\n" );
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document.write( "Asub(3) = -4(3)(3-1) ... plug in n = 3\r<BR>\n" );
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document.write( "Asub(3) = -4(3)(2)\r<BR>\n" );
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document.write( "Asub(3) = -12(2)\r<BR>\n" );
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document.write( "Asub(3) = -24\r<BR>\n" );
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document.write( "Term #3 is -24\r<BR>\n" );
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document.write( "Term #4\r<BR>\n" );
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document.write( "Asub(n) = -4n(n-1)\r<BR>\n" );
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document.write( "Asub(4) = -4(4)(4-1) ... plug in n = 4\r<BR>\n" );
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document.write( "Asub(4) = -4(4)(3)\r<BR>\n" );
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document.write( "Asub(4) = -16(3)\r<BR>\n" );
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document.write( "Asub(4) = -48\r<BR>\n" );
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document.write( "Term #4 is -48\r<BR>\n" );
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document.write( "Term #5\r<BR>\n" );
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document.write( "Asub(n) = -4n(n-1)\r<BR>\n" );
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document.write( "Asub(5) = -4(5)(5-1) ... plug in n = 5\r<BR>\n" );
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document.write( "Asub(5) = -4(5)(4)\r<BR>\n" );
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document.write( "Asub(5) = -20(4)\r<BR>\n" );
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document.write( "Asub(5) = -80\r<BR>\n" );
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document.write( "Term #5 is -80\r<BR>\n" );
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document.write( "The first five terms are: 0, -8, -24, -48, -80,  </SPAN>\n" );
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