document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150756>Question 1150756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The  third term of an a.p is 4x-2y and the 9th term is 10x -8y.find the common difference </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772184 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for the nth term of an arithmetic progression is<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a(n) = a +d(n-1), where a is the first term and d is the common displacement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we are given<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a(3) = a+d(3-1) = 4x-2y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a(9) = a+d(9-1) = 10x-8y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve each equation for a and then set them equal to each other<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a +2d = 4x -2y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1)  a = 4x -2y -2d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a +8d = 10x -8y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2)  a = 10x -8y -8d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4x -2y -2d = 10x -8y -8d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2d = 6x -6y -8d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6d = 6x -6y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d = x -y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The common difference is x-y<BR>\n" );
document.write( ": </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );