The infinitely many specimens in the liver fluke lab are


Question: The infinitely many specimens in the Liver Fluke Lab are collected for transport: "a dolly stacked with boxes is brought across the hall and then brought back empty. This process takes about 30 seconds. In the next 15 seconds, the dolly passes across the hall full and returns empty. Again a load of boxes passes across, but in one-eighth of a minute. Continuing to pass back and forth twice as fast with each trip, the dolly becomes a blur, and about five seconds later the hall is still."

(a) How long does it take for all of the boxes to be taken across the hall?

(b) How many trips does the dolly make?

(c) Write the duration of each trip as a fraction of the total time, and add these up. Rewrite the result using summation notation to conclude an interesting fact.

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Mathematics: The infinitely many specimens in the liver fluke lab are
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