A population starts at size 100, and receives 10 immigrants in the first year, loses 5 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?