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There is no such number. If you give me any number and claim that it is the smallest number greater than 9.5, then the average of that number and 9.5 will be (a) greater than 9.5 and (b) smaller than the number you gave me.

And the average of 9.5 and the new number will be a better candidate.

And the average of 9.5 and that new number ...

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Q: What is the smallest number greater than 9.5?

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