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The Harmonic Lottery

To raise funds for a scholarship, a mathematician organizes a lottery which offers an unusual prize—
an infinite amount of money.

Thousands of tickets are sold, with all of the buyers desperate to win this great prize. Eventually, the winning ticket is drawn, and the jubilant owner tries to claim his prize.

But, the mathematician explains the mode of payment: "Here’s 1 dollar now. You will get 1/2 dollar next week, 1/3 dollar the week after that, 1/4 dollar after that, etc...."