A population starts at size 100, and receives 10 immigrants in the first year, loses 12 emigrants in the second year, receives 10 immigrants in the third year, and so forth.
In each of the above population, immigration changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population in each of the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average immigration in each case. Does an average greater than 0 mean that the population is growing?