0.3333… = 1 (in base 4)
This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/4.
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To see two other versions of this sum, check out
• Geometric series: sum of powers of 1/...
• A Hexagonal Geometric Sum (visual pro...
To see the related base 10 fact, check out:
• 0.999999… = 1
And to see the related binary fact, check out:
• Adding powers of 1/2
To see related base-3 fact, check out:
• Geometric series: sum of powers of 1/...
or
• 0.2222…= 1 (in base 3)
To see a related base-5 fact, check out
• 0.4444... = 1 (in base 5)
This animation is based on a proof by Sunday A. Ajose from the June 1994 issue of Mathematics Magazine (https://www.jstor.org/stable/2690616 page 230).
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Watch video 0.3333… = 1 (in base 4) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 05 February 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 333,666 once and liked it 13 thousand people.