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A penny a day is twice as much as a day. How much is thirty days?
The 30th day is 2 29 = 536870912.

Calculation method: one penny a day, twice as much as the previous day, two cents a day (1 to the second power), four cents a day (to the second power of 2), eight cents a day (to the third power of 2) and sixteen cents a day (to the fourth power of 2).