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Problem 1:
Let's say an infectious disease, like COVID-19, spreads by doubling the number of cases every 4 days. If there are 5 cases on day 1 how many cases will be there after 40 days.
Problem 2:
Due to social distancing, an infected person only spreads the disease to 1.25 new people every 4 days. If there are 5 cases on day 1 how many cases will be there after 40 days.
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