A population starts at size 1000 and grows with per capita production rt that alternates between 0.6

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A population starts at size 1000 and grows with per capita production rt that alternates between 0.6 and 1.5.
In each of the above populations, per capita production changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population during the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average per capita production in each case. Does an average greater than 1.0 always mean that the population is growing?
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