The visual demonstration of 1/3 + 1/9 + 1/27 + ... = 1/2
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The red and blue equally split the middle rectangle and each have 1/3rd of the large rectangle which means each color is 1/2 of the whole shape. Therefore, the sum of 1/3 + 1/3^2 + 1/3^3 ... + 1/3^n is 1/2.
Nice, but you could also show the simpler to understand sum of the geometric series 1/2^n , which equals 1.
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