document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857752>Question 857752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me to find three numbers which are in arithmetic series and in geometric series and the common difference or common ratio should not be zero </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516814 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=516814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can you help me to find three numbers which are in arithmetic series and in geometric series and the common difference or common ratio should not be zero<BR>\n" );
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document.write( "Arithmetic Sequence:: a, a+d, a+2d<BR>\n" );
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document.write( "If that is also a geometric sequence,<BR>\n" );
document.write( "(a+d)/a = (a+2d)/(a+d)<BR>\n" );
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document.write( "(a+d)^2 = a(a+2d)<BR>\n" );
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document.write( "a^2 + 2ad + d^2 = a^2 + 2ad<BR>\n" );
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document.write( "d^2 = 0<BR>\n" );
document.write( "d = 0<BR>\n" );
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document.write( "Then the arithmetic sequence = a,a,a<BR>\n" );
document.write( "which is not an aritmetic sequence.<BR>\n" );
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document.write( "Answer to your question.  There is no answer.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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