document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847267>Question 847267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of first 3 integers in an Arithmetic progression is 36. The sum of the next 3 integers is 72. What is the common difference between the terms?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510308 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=510308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of first 3 integers in an Arithmetic progression is 36. The sum of the next 3 integers is 72. What is the common difference between the terms?<BR>\n" );
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document.write( "S(3) = (3/2)(a + (a+2d)) = 36<BR>\n" );
document.write( "S(6) = (6/2)(a + (a+5d)) = 72+36<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3(2a+2d) = 72<BR>\n" );
document.write( "6(2a+5d) = 216<BR>\n" );
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document.write( "2a+2d = 24<BR>\n" );
document.write( "2a+5d = 36<BR>\n" );
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document.write( "3d = 12<BR>\n" );
document.write( "common difference = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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