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5 Anything under over .5 goes up to the next number
you add the next odd number in the sequence. first you add 1, then 3, 5, 7, 9...
The pattern is that every time you go to the next number it goes down half as much as it went down the time before that. For example the next number would be 7 and the next would be 5.5
There is no NEXT number. Suppose x was the next number. That means 38 is less than x and there is no number between 38 and x (otherwise x would not be next. Well, what about (38+x)/2? It is easy to show that this is bigger than 38 and smaller than x so is between the two. There goes the supposition that x was the next number. So what about (38+x)/2? The number halfway between 38 and this one will be better. And the number halfway between 38 and the next one will be better, etc, etc, etc.
122, because it goes x2 then -1 and repeats