document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202469>Question 1202469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 3rd term of a geometric sequence is 36, and the 6th term is 9/2. What is the recursive formula for 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 #837326 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 3rd term of a geometric sequence is 36, and the 6th term is 9/2. What is the recursive formula for the sequence\r<BR>\n" );
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document.write( "tn = ar^(n-1)\r<BR>\n" );
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document.write( "t3= a*r^(3-1)\r<BR>\n" );
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document.write( "t3= ar^2=36\r<BR>\n" );
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document.write( "t6 = a*r(6-1) = ar^5= 9/2\r<BR>\n" );
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document.write( "t3/t6  = ar^2/ar^5 = 36/(9/2)\r<BR>\n" );
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document.write( "1/r^3= 36/9 *2\r<BR>\n" );
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document.write( "1/r^3= 8<BR>\n" );
document.write( "r^3= 1/8\r<BR>\n" );
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document.write( "r=1/2\r<BR>\n" );
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document.write( "ar^2=36\r<BR>\n" );
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document.write( "plug r\r<BR>\n" );
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document.write( "a*(1/2)^2 =36<BR>\n" );
document.write( "a/4 =36<BR>\n" );
document.write( "a= 144\r<BR>\n" );
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document.write( "tn = 144*(1/2)^n-1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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