Suppose that the density of female insects during the first year is 500 per acre with r = 0.8. 

(a) Write a recursive sequence that describes these data, where a_n, denotes the female insect density during year n. 

(b) Find the six terms a₁, a₂, a₃,... a₆. Interpret the results. 

(c) Find a formula for a_n.