I know that pi contains every finite number sequence, but i am not sure why. Since you can take any irrational number and change every $9$ to an $8$, then clearly not all irrational numbers are the same way, since the resulting number won't have any sequence with $9$ in it. Then what nunbers are this way, and how can you show that its true for pi (or any other number)?
2026-03-25 11:08:10.1774436890
Decimal representations containing every possible sequence
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The numbers with that property are called normal numbers in base $10$. And nobody knows whether or not $\pi$ is normal in base $10$ (or in any other base). A number which is normal in base $10$ is$$0.12345678910111213\ldots$$