document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934756>Question 934756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 4th,5th and 6th terms of a linear sequence are 9-2x, x-2 and 2x-1 respectively. Find the:<BR>\n" );
document.write( "  a)  value of x<BR>\n" );
document.write( "  b)  20th term<BR>\n" );
document.write( "  c). nth term<BR>\n" );
document.write( "  d)  sum of 5th to 20th terms </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567752 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=567752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the 4th,5th,6th terms: p, q, r\r<BR>\n" );
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document.write( "p = 9-2x<BR>\n" );
document.write( "q = x-2<BR>\n" );
document.write( "r = 2x-1\r<BR>\n" );
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document.write( "If we subtract the 4th term from the fifth, we get q - p. That's equal to r - q since we have a common difference\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "q - p = r - q\r<BR>\n" );
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document.write( "q+q = r+p\r<BR>\n" );
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document.write( "2q = r+p\r<BR>\n" );
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document.write( "2(x-2) = (2x-1)+(9-2x)\r<BR>\n" );
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document.write( "2x - 4 = 2x-1 + 9 - 2x\r<BR>\n" );
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document.write( "2x - 4 = 8\r<BR>\n" );
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document.write( "I'll let you finish up. </SPAN>\n" );
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