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Consider the geometric sequence \(\frac{16}{9}, \frac{8}{3}, 4, 6, 9, \ldots\). What is the eighth term of the sequence? Express your answer as a common fraction.

 Jul 1, 2020
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The common ratio is 3/2, so the 8th term is (16/9)*(3/2)^8 = 729/16.

 Jul 1, 2020

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