document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983176>Question 983176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "our topic is all about arithmetic sequence. There's a given question that I found difficulty, so please help me to answer this question:<BR>\n" );
document.write( "Find the value of x and y so that (x + y), (3x - 2), (x + 7y), and (3x + 4y) are terms of an arithmetic sequence.\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603971 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=603971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok, here we go<BR>\n" );
document.write( "arithmetic sequence definition is xn = a + ( d * (n - 1)), where xn is the nth term in the sequence, a is the first term, d is the common difference<BR>\n" );
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document.write( "note that x+y is a, then<BR>\n" );
document.write( "x1 = x+y<BR>\n" );
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document.write( "x2 = 3x-2 = x+y + d<BR>\n" );
document.write( "x2 = 2x-y = 2 + d<BR>\n" );
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document.write( "x3 = x+7y = x+y + 2d<BR>\n" );
document.write( "x3 = 6y = 2d<BR>\n" );
document.write( "x3 = y = d/3<BR>\n" );
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document.write( "x4 = 3x+4y = x+y + 3d<BR>\n" );
document.write( "x4 = 2x+3y = 3d<BR>\n" );
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document.write( "using x3 (y = d/3) and x2 we have<BR>\n" );
document.write( "2x - d/3 = 2 + d<BR>\n" );
document.write( "3x - 2d = 3<BR>\n" );
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document.write( "using x3 and x4 we have<BR>\n" );
document.write( "2x + d = 3d<BR>\n" );
document.write( "x = d, therefore<BR>\n" );
document.write( "3x - 2x = 3<BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "now use x4, x=3, d=3<BR>\n" );
document.write( "6 + 3y = 9<BR>\n" );
document.write( "y = 1<BR>\n" );
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document.write( "we have x=3, y=1 and d=3<BR>\n" );
document.write( "4, 7, 10, 13<BR>\n" );
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