So [itex]\sqrt[5]{306}[/itex] is a pretty good approximation for Pi (=3.14155).(adsbygoogle = window.adsbygoogle || []).push({});

If you add 1/51, so that you have [itex]\sqrt[5]{306+1/51}[/itex] you get 3.1415925 (last digit is 6 for actual Pi.)

If you add 1/12997, [itex]\sqrt[5]{306+1/51+1/12997}[/itex] you get 3.141592653587 (vs 3.141592653589 for actual Pi.)

And so on. As you can see it converges pretty rapidly!

I was wondering if there was a similar series for Pi^5 that has already been discovered?

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# Pretty good approximation for Pi

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