Model 2: Repeated Replacement

04 Try it yourself Interactive

Every round, one multiplication

Choose the vessel size, how much is drawn off, and how many times. Each step multiplies the milk by the surviving fraction rather than subtracting a fixed amount — watch the milk fall by less and less each round. Push the count up and see it approach zero without ever arriving.

40 L, draw 8, twice

milk 25.6 · 16 : 9

The draw must be smaller than the vessel. Round counts above 3 are where the gap from the naive subtraction becomes impossible to ignore.

Press Next to work through it one step at a time.

Vessel–

Draw–

Milk left–

Water–

step 0 / 0