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.
Chat with our AI personalities