document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049756>Question 1049756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n&#8805;0  then f(2) is equal to<BR>\n" );
document.write( "A. -11<BR>\n" );
document.write( "B. 1<BR>\n" );
document.write( "C. 5<BR>\n" );
document.write( "D. 17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665335 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " given:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+2+ ALIGN=MIDDLE  ALT=\"f%280%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28n%2B1%29+=+-2f%28n%29+%2B+3+ ALIGN=MIDDLE  ALT=\"f%28n%2B1%29+=+-2f%28n%29+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%3E=+0 ALIGN=MIDDLE  ALT=\"n+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
document.write( "\n" );
document.write( "here is the sequence for the first three numbers:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+0 ALIGN=MIDDLE  ALT=\"n+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%2B1%29+=+-2+%2A+f%280%29+%2B+3 ALIGN=MIDDLE  ALT=\"f%280%2B1%29+=+-2+%2A+f%280%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+-2+%2A+2+%2B+3 ALIGN=MIDDLE  ALT=\"f%281%29+=+-2+%2A+2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+-4+%2B+3 ALIGN=MIDDLE  ALT=\"f%281%29+=+-4+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+-1 ALIGN=MIDDLE  ALT=\"f%281%29+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+1 ALIGN=MIDDLE  ALT=\"n+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2B1%29+=+-2+%2A+f%281%29+%2B+3 ALIGN=MIDDLE  ALT=\"f%281%2B1%29+=+-2+%2A+f%281%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+-2+%2A%28+-1%29+%2B+3 ALIGN=MIDDLE  ALT=\"f%282%29+=+-2+%2A%28+-1%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+2+%2B+3 ALIGN=MIDDLE  ALT=\"f%282%29+=+2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+5 ALIGN=MIDDLE  ALT=\"f%282%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+2 ALIGN=MIDDLE  ALT=\"n+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+-2+%2A+f%282%29+%2B+3 ALIGN=MIDDLE  ALT=\"f%283%29+=+-2+%2A+f%282%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+-2+%2A+5+%2B+3 ALIGN=MIDDLE  ALT=\"f%283%29+=+-2+%2A+5+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+-10+%2B+3 ALIGN=MIDDLE  ALT=\"f%283%29+=+-10+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+-7 ALIGN=MIDDLE  ALT=\"f%283%29+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "so,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29 ALIGN=MIDDLE  ALT=\"f%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and your answer is C. \r<BR>\n" );
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