document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196635>Question 1196635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The table below shows the length of a side of a square garden and the perimeter of the garden(I already posted this question, but I  didn’t include the full question because I thought I could solve that piece myself(also, thank you evatrrr). <BR>\n" );
document.write( "Length of side: 1| Perimeter: 4<BR>\n" );
document.write( "Length of side: 2| Perimeter: 8<BR>\n" );
document.write( "Length of side: 3| Perimeter: 12<BR>\n" );
document.write( "Length of side: 4| Perimeter: 16<BR>\n" );
document.write( "Length of side: 5| Perimeter: 20\r<BR>\n" );
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document.write( "What is the recursive formula for the perimeter of a square of side n(the nth perimeter) using the first number(perimeter) in the pattern?| I am not sure what the answer is, but the answer I got was: an = an(n - 1) + 4<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 #829592 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=829592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<font color=red>Answer:</font> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a_{n} = (a_{n-1}) + 4\">\r<BR>\n" );
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document.write( "An equivalent answer would be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a_{n+1} = (a_{n}) + 4\">\r<BR>\n" );
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document.write( "The first term is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a_{1} = 4\">\r<BR>\n" );
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document.write( "n is a positive integer.\r<BR>\n" );
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document.write( "Further Explanation:\r<BR>\n" );
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document.write( "The sequence is <BR>\n" );
document.write( "4, 8, 12, 16, 20\r<BR>\n" );
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document.write( "Each time we need a new term, add on 4<BR>\n" );
document.write( "eg: 8+4 = 12\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a_{n}\"> represents the nth term, where n is some positive integer from the set {1,2,3,4,5,...}<BR>\n" );
document.write( "To find this nth term, we add 4 to the previous term just before the nth term. That previous term being <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a_{n-1}\">\r<BR>\n" );
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document.write( "This is how we can describe the recursive form in words<BR>\n" );
document.write( "nth term = (term just before nth term) + 4\r<BR>\n" );
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document.write( "Some textbooks will use this type of notation<BR>\n" );
document.write( "a(n) = a(n-1)+4<BR>\n" );
document.write( "where a(n) is the nth term and a(n-1) is the term just before the nth term. \r<BR>\n" );
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document.write( "Now we could re-index things to say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a_{n+1} = (a_{n}) + 4\"><BR>\n" );
document.write( "aka<BR>\n" );
document.write( "a(n+1) = a(n)+4<BR>\n" );
document.write( "and it means \"to find the (n+1)th term, add 4 to the nth term\".<BR>\n" );
document.write( "So it's up to you which format you prefer better.\r<BR>\n" );
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document.write( "Keep in mind that a(n) and a(n-1) and a(n+1) are function notation, and NOT multiplication. We can't use the distribution rule here.<BR>\n" );
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