You toss a fair coin until you get a head for the first, Ask an Expert

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You toss a fair coin until you get a head for the first time, and receive $2i if this occurs at trial i. You are allowed a maximum of N trials. If tails occurs at each of the N trials, you win nothing. What entrance fee should you be required to pay in order to make the game fair? (a "Fair" means that the expected gain is 0.)

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