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What is the tenth term of the pattern below?
2/3, 4/9, 8/27, 16/81 …
A. 20/30
B. 210/3
C. 2/310
D. (2/3)2/3
E. (2/3)10
Correct Answer: E
Explanation/Reference:
Explanation:
Each term in the pattern is equal to the fraction 2/3 raised to an exponent that is equal to the position of the term in the sequence. The first term in the sequence is equal to (2/3)1, the second term is equal to (2/3)2, and so on. Therefore, the tenth term in the sequence will be equal to (2/310.
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