document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752003>Question 752003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For questions 3-5, find the first 4 terms and the 8th term of the recursively-defined sequence.\r<BR>\n" );
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document.write( "3.  b1 = 2 and bk+1 = 3bk, for k>0\r<BR>\n" );
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document.write( "4. v1 = 0.75 and vn = (-2)vk-1 for n>1\r<BR>\n" );
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document.write( "5. c1 = 2, c2 = -1, and ck+2 = ck + ck+1 for k>0\r<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 #457508 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=457508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the first 4 terms and the 8th term of the recursively-defined sequence. <BR>\n" );
document.write( "3. b1 = 2 and bk+1 = 3bk, for k>0<BR>\n" );
document.write( "b(1) = 2<BR>\n" );
document.write( "b(2) = 3*b1 = 3*2 = 6<BR>\n" );
document.write( "b(3) = 3*b2 = 3*6 = 3^2*2 = 9*2 = 18<BR>\n" );
document.write( "b(4) = 3*b3 = 3*3^2*2 = 3^3*2 = 54<BR>\n" );
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document.write( "b(8) = 3^4*2 = 81*2 = 162<BR>\n" );
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document.write( "4. v1 = 0.75 and vn = (-2)vk-1 for n>1<BR>\n" );
document.write( "v(1) = 3/4<BR>\n" );
document.write( "v(2) = -2(3/4)<BR>\n" );
document.write( "v(3) = (-2)^2(3/4) = 3<BR>\n" );
document.write( "v(4) = (-2)^3(3/4) = -6<BR>\n" );
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document.write( "v(8) = (-2)^6(3/4) = 48<BR>\n" );
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document.write( "5. c1 = 2, c2 = -1, and ck+2 = ck + ck+1 for k>0<BR>\n" );
document.write( "c(1) = 2<BR>\n" );
document.write( "c(2) = -1<BR>\n" );
document.write( "c(3) = 2+-1 = 1<BR>\n" );
document.write( "c(4) = -1 + 1 = 0<BR>\n" );
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document.write( "c(8) = c(6) + c(5) = [c(4)+c(5)] + c(5) = [0+1+1] = 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= <BR>\n" );
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