The Doubling Penny

You get 1 cent on day 1, and the amount doubles each day. Roughly how much do you get on day 30?

Hint: 2 raised to 29.

Answer

About $5.37 million (536,870,912 cents).

Day n pays 2^(n−1) cents. 2^29 = 536,870,912 cents, or about $5.37 million, which shows how fast doubling grows.

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