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 #824728 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The common ratio is the second term divided by the first term:

\n" ); document.write( " $\"ln%28x%5E8%29%2Fln%28x%5E16%29\"$
\n" ); document.write( " $\"ln%28x%5E8%29%2Fln%28%28x%5E8%29%5E2%29\"$
\n" ); document.write( " $\"ln%28x%5E8%29%2F%282%2Aln%28x%5E8%29%29=1%2F2\"$

\n" ); document.write( "The common ratio is 1/2.

\n" ); document.write( "By the way.... The comment from the other tutor that the \"for x>0\" is not needed in the problem is incorrect. The sequence is

\n" ); document.write( "ln(x^16), ln(x^8), ln(x^4), ln(x^2), ln(x), ln(x^(1/2)), ln(x^(1/4)),...

\n" ); document.write( "x>0 IS required for this sequence, starting with the 5th term, ln(x).

\n" ); document.write( " \n" ); document.write( "

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