An Infinite Series Paradox

Here is a "proof" that 20 + 21 + 22 + ... = -1:
  • S = 20 + 21 + 22 + ...
  • 2S = 21 + 22 + 23 + ...
  • 2S - S = S
  • 2S - S = -20
  • S = -20
  • S = -1
  • 20 + 21 + 22 + ... = -1
  • QED

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