document.write( "Question 1064175: Suppose x, y, z is a geometric sequence with common ratio r and x≠ y. If x, 2y, 3z is an arithmetic sequence, then what is r^2? \n" ); document.write( "

Algebra.Com's Answer #679243 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "I will only give you a HINT, leaving the solution to you.\r\n" );
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document.write( "HINT 1.  Since x, y ans z form Geom.progression, y = rx and z = r^2*x.       (1)\r\n" );
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document.write( "HINT 2.  Since x, 2y and 3z form Arithm.progression, 2y-x = 3z - 2y.         (2)\r\n" );
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document.write( "HINT 3.  Having this, substitute (1) to (2).  You will get an equation\r\n" );
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document.write( "2(r*x) -x = 3(r^2*x) - 2*(r*x).\r\n" );
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document.write( "Cancel x in both sides and solve for \"r\".\r\n" );
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