Fill the ocean

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Imagine an empty giant swimming pool whose volume is the same as the Pacific Ocean's volume. Someone suddenly opens a tap that starts filling the pool with water while a chronometer starts running. During the first minute, 10 gallons of water are released. At the end of the second minute, there are 15 gallons of water inside the pool. And when the chronometer shows that 6 minutes have passed, there are 24.5 gallons of water inside the pool. If the water continues following this pattern forever, is it possible to determine if the pool will be ever completely filled by the water?

Consider that:

  • No water evaporates.
  • It is possible to have an amount of water smaller than an atom.

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