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There is not enough information in the question to answer the question. It depends on what happens in the ellipsis. If the number of fours keeps increasing forever then it is not a rational number, but if it settles at three 4s, or goes one 4, two 4s, three 4s (and maybe four 4s, five 4s) and then back to one 4 then it is.

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10y ago

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