document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857886>Question 857886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sequence of 6 numbers every number after the first two is the average of the previous two numbers \r<BR>\n" );
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document.write( "The fourth number in the sequence is 22 and the 6th number is 45.\r<BR>\n" );
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document.write( "Determine all six numbers in 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 #516921 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can immediately tell that the equation for the fifth number (E) is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2822+%2B+E%29%2F2 ALIGN=MIDDLE  ALT=\"%2822+%2B+E%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=45<BR>\n" );
document.write( "Therefore, E + 22 = 90; E = 68<BR>\n" );
document.write( "Our sequence looks like this:<BR>\n" );
document.write( "A, B, C, 22, 68, 45<BR>\n" );
document.write( "Let's work backward to find C.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C+%2B+22%29%2F2 ALIGN=MIDDLE  ALT=\"%28C+%2B+22%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 68<BR>\n" );
document.write( "C + 22 = 136<BR>\n" );
document.write( "C = 114<BR>\n" );
document.write( "Now we have:<BR>\n" );
document.write( "A, B, 114, 22, 68, 45<BR>\n" );
document.write( "22 is the average of 114 and B.<BR>\n" );
document.write( "44 = 114 + ?<BR>\n" );
document.write( "B = -70<BR>\n" );
document.write( "Now we have:<BR>\n" );
document.write( "A, -70, 114, 22, 68, 45<BR>\n" );
document.write( "What is A?<BR>\n" );
document.write( "A + (-70) = 114*2, or 228<BR>\n" );
document.write( "A = 298<BR>\n" );
document.write( "Sequence is:<BR>\n" );
document.write( "298, -70, 114, 22, 68, 45<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let make sure that works.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28298-70%29%2F2 ALIGN=MIDDLE  ALT=\"%28298-70%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=114<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-70%2B114%29%2F2 ALIGN=MIDDLE  ALT=\"%28-70%2B114%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=22<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28114%2B22%29%2F2 ALIGN=MIDDLE  ALT=\"%28114%2B22%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=68<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2822%2B68%29%2F2 ALIGN=MIDDLE  ALT=\"%2822%2B68%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=45<BR>\n" );
document.write( "Success!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );