Wheat and Chessboard Problem/19th Century Version

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Wheat and Chessboard Problem: 19th Century Version

It is calculated that $200$ pins go to the ounce.

Suppose that for the $52$ weeks in the year:

one pin were dropped into the hold during the first week
two in the second
four in the third

and so on.

By the end of the year the weight of the whole would be no less than $628 \, 292\, 358$ tons of pins.

As the Great Eastern steamship was built to carry $22 \, 500$ tons only, it follows that to carry all the pins there would be required $27 \, 924$ ships of the size of the Great Eastern.


Sources