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There are at least three possible answers, consistent with the information given in the question. Short of reading the mind of the person who posed the question, there is no way of determining which of these (or other) solutions is the "correct" one.

Answer A: It is 81.

The sequence is 1 followed by 2 lots of 9^1, then 3 lots of n^2, then 4 lots of n^3, etc.

Answer B: It is 729.

The sequence is 1 followed by pairs of powers of n.

Answer C: It is 6561.

The sequence is 1 followed by a pair of 9s, followed by a pair of 9^2, followed by a pair of (9^2)^2, then ((9^2)^2)^2, etc.

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9y ago
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Q: What number is after 81 in the pattern 1 9 9 81 81 if the pattern is by 9's and 1's?
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