document.write( "Question 1192803: The first three terms of a geometric sequence are lnx^16, lnx^8, lnx^4, for x>0. Find the common ratio. \n" ); document.write( "

Algebra.Com's Answer #824710 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "The first three terms of a geometric sequence are lnx^16, lnx^8, lnx^4, for x>0. Find the common ratio.
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document.write( "The 1-st term is  ln(x^16) = 4*ln(x^4).\r\n" );
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document.write( "The 2-nd term is  ln(x^8) = 2*ln(x^4).\r\n" );
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document.write( "The 3-rd term is  ln(x^4).\r\n" );
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document.write( "The ratio   = .\r\n" );
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document.write( "The ratio   = .\r\n" );
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document.write( "So the progression is geometric and its common ratio is  .    ASNSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The side note : in this problem, x > 0 IS NOT a necessary condition. The necessary condition is | x | =/= +/-1.\r
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