I am not a mathematician at all and I had a thought about Pi that I can't work out.
Pi is irrational, with an infinite sequence of numbers
A recurring number is infinite
Would it be theoretically possible that at one point down Pi's sequence, it just turned into an infinite sequence of one number?
If not, what is stopping this? I recognise through reductio ad absurdum that my proposition is impossible, as it means that PI must at some point end in all of 1-recurring and 2-rcurring...9-recurring simultaneously, but I lack the toolset to understand where my thinking breaks down.
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