Deer have become increasingly apparent in a rural county. Last year it was estimated that there were 40 breeding pairs (a deer must reach the age of 1 to breed). A pair of deer produce an average of 1 fawn per year, and 80% of these fawns grow to reach 1 year of age. 10% of adult deer die of natural causes each year. An average of 5 adult deer are killed annually in highway accidents, and 2 per year in illegal hunting. Use difference equations to estimate the population of deer. Do you think it is likely that the deer population in the county is increasing? Will the deer population eventually reach equilibrium?