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Frequency multiplier = 90 / 60 = 1.5
An epidemiologist models a disease with a basic reproduction number R₀ = 2.5. If one person is initially infected, how many total people will have been infected after three generations of transmission, assuming no interventions?
Generation 1: 1 person → infects 2.5
Generation 2: 2.5 → each infects 2.5 → 2.5 × 2.5 = 6.25
Generation 3: 6.25 → infects 6.25 × 2.5 = 15.625
Total infected = 1 + 2.5 + 6.25 + 15.625 = 25.375
#### 25.375
A palynologist uses statistical interpolation to estimate that pollen deposition rate was 500 grains/cm³/year 5,000 years ago. If the sediment layer is 4 cm thick, how many total pollen grains per cm² are estimated to be preserved in this layer?
Total grains per cm³ = 500 × 4 = 2,000
Since grains are distributed uniformly over 1 cm², total grains per cm² = 2,000