document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141137>Question 141137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If three numbers a,b,c are in arithmetic progression then:<BR>\n" );
document.write( "a^2(b+c),b^2(c+a) and c^2(a+b) are in :\r<BR>\n" );
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document.write( "(a)A.P (b)G.P (c)H.P (d)A.G.P. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804148 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, b, c ---> a-d, a, a+d\r<BR>\n" );
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document.write( "a^2(b+c) = (a-d)^2 * (2a + d) = 2a^3 - 3a^2d + d^3<BR>\n" );
document.write( "b^2(c+a) = a^2 * (2a) = 2a^3<BR>\n" );
document.write( "c^2(b+a) = (a+d)^2 * (2a - d) = 2a^3 + 3a^2d - d^3\r<BR>\n" );
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document.write( "This is another arithmetic sequence with common difference 3a^2d - d^3. </SPAN>\n" );
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