Intuitive proof that 1/2 + 1/4 + 1/8 + 1/16 + ⋯ = 1pic.twitter.com/Plr44qSVhA
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Intuitive proof that 1/2 + 1/4 + 1/8 + 1/16 + ⋯ = 1pic.twitter.com/Plr44qSVhA
black squares are the square of half the side, so (1/2)^2, and you can see that there are two white squares for each black one
Nice, but strictly speaking describing this picture properly will generate a muuch longer proof compared to an algebraic one.
But arguably a much "simpler" verifier can verify this "proof" than an algebraic one.
It's Archimedes' Quadrature of the Parabola. 3rd century BC.
Traza una diagonal ...
Sadly not true. Only when n->infinity. I am cross about this because I bought a tee-shirt with it on from you. My son pointed out the error.
No use for chess either. Rotten buy!
Like fractals. Divide square into 4 equal squares. Leave 3 of them alone & divide 4rth square into 4 & so on. + them up = original square/3.
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