Doesn't strike me as visually obvious at 1st sight and it never actually gets to the point where it exactly =1/3 but just tends to something very close to it.
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that's the whole point of limits though
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I understand this picture has 1/4 points black =4/16, but in the formula is presented as 1/4^2 =1/16. Could you explain it? Thanks a lot!!pic.twitter.com/5nXM4nZynO
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The whole picture = 64 dots 1/4 of 64 = 16 (sixteen black dots arranged four by four in right bottom) 1/4^2 = 1/16 of 64 = 4 (four black dots arranged two by two in the middle) 1/4^3 = 1/64 of 64 = 1 (the last black dot)
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Black dots are 21/64. How infinite summation converges to 1/3?

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It's never exactly be 1/3 but it "tends" to a very close number to 1/3 and this is the "limit" concept.
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But it is not exactly 1/3. It is ~ 1/3
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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Python solution : >>> result = 0 >>> for i in range(1, 10000): ... result += 1/(4**i) ... >>> print('1/4 + 1/4² + 1/4³ + ... =', result) 1/4 + 1/4² + 1/4³ + ... = 0.3333333333333333
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