document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935569>Question 935569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose A1=2 and A(n+1)=3A(n)+2. Write the first five terms of the sequence. Then write an explicit formula for An. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568821 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=568821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THAT makes better sense.  Start at n=1, use the formula, and work forward.\r<BR>\n" );
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document.write( "You find the next three terms.\r<BR>\n" );
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document.write( "You also wanted to find the explicit formula.<BR>\n" );
document.write( "On paper, the process of composing the first few successive terms is messy.  I found for the fifth term, This:<BR>\n" );
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document.write( "I can guess, if this remains workable, that the pattern is apparent.  This seems to be based on the sum of a geometric sequence.  <BR>\n" );
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document.write( "Fifth term should be 242.<BR>\n" );
document.write( "I would guess along the apparent formula that the sixth term would be 728. </SPAN>\n" );
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