… then don’t they inevitably repeat after all?
For example, the digit ‘3’ repeats a lot, of course.
The digits ’31’ also repeat.
Then the digits ‘314’ do as well.
And so on… 3141, 31415, 314159, etc etc.
According to [the Pi-Search page](https://www.angio.net/pi/):
>The string 31415926 occurs at position 50366472. This string occurs 3 times in the first 200M digits of Pi.
counting from the first digit after the decimal point. The 3. is not counted.
So, if it truly does continue forever, isn’t it likely that every set of digits must repeat at some point, no matter how long the string may be?
If not, please explain why.
In: 0
If a number is rational, then its decimal expansion is either finite, or it repeats itself infinitely, e.g. 0.3333333…, 0.16161616… and 14.2857142857142857…
“Infinite non-repeating” doesn’t means there are no repetitions at all. It means that the sequence doesn’t repeat endlessly like the examples above.
In fact, there’s a unproven conjecture that Pi contains every possible finite sequence of digits, so naturally it does contain repetitions.
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