document.write( "Question 853269: 1Is the sequence geometric? If so, identify the common ratio.\r
\n" ); document.write( "\n" ); document.write( "1/4, 3/16, 9/64, 27/256, 81/1024.\r
\n" ); document.write( "\n" ); document.write( "a) yes: 1/3
\n" ); document.write( "b) yes: 3/4
\n" ); document.write( "c) not geometric
\n" ); document.write( "d) yes: 2/9
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Algebra.Com's Answer #513988 by fcabanski(1391)\"\" \"About 
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Since this is multiple choice, check each answer from term to term. A term times the common ratio equals the next term.


\n" ); document.write( "A: 1/3: 1/4 * 1/3 = 1/12. That's not the second term. Eliminate answer A.


\n" ); document.write( "B: 3/4: 1/3 * 3/4 = 3/16. It works as a ratio between the first and second term.


\n" ); document.write( "3/15 * 3/4 = 9/64. Good for third term.


\n" ); document.write( "9/64 * 3/4 = 27/256. Good for fourth term.


\n" ); document.write( "27/256 * 3/4 = 81/1024. This ratio works for all terms, so the answer is b.


\n" ); document.write( "You can also divide each term by the previous term to find the common ratio. If the common ratio between terms is the same, then it's a geometric sequence, and you have the common ratio.


\n" ); document.write( "81/1024 divided by 27/256 = 81/1024 * 256/24 = 3/4. Do the same for each pair terms to find that the common ratio between all terms is 3/4. \n" ); document.write( "

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