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Math Notes - Futility Closet

Summary by Futility Closet
s = 1 + 2 + 4 + 8 + 16 + ... = 1 + 2(1 + 2 + 4 + 8 + ...) = 1 + 2s, so 1 = 1 + 2 + 4 + 8 + 16 + ... (Regular summation gives a sum of infinity, but the idea above does make a certain sense.) (Thanks, Murtadha.)
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Futility ClosetFutility Closet

Math Notes - Futility Closet

s = 1 + 2 + 4 + 8 + 16 + ... = 1 + 2(1 + 2 + 4 + 8 + ...) = 1 + 2s, so 1 = 1 + 2 + 4 + 8 + 16 + ... (Regular summation gives a sum of infinity, but the idea above does make a certain sense.) (Thanks, Murtadha.)

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Futility Closet broke the news in on Wednesday, July 23, 2025.
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