Solve the Problem $\mathrm { n }$ Can Be Modeled by the Recursively Defined Sequence

Multiple Choice

Solve the problem.
-Suppose that an insect population density, in thousands, during year $\mathrm { n }$ can be modeled by the recursively defined sequence: $a _ { 1 } = 1 ; a _ { n } = 2.79 a _ { n - 1 } - 0.15 a _ { n - 1 } ^ { 2 }$ for $n > 1$ .
Use technology to graph the sequence for $n = 1,2,3 , \ldots , 20$ . Describe what happens to the population density function.

A) The insect population stabilizes near $8.73$ thousand.
B) The insect population stabilizes near $12.86$ thousand.
C) The insect population increases every year.
D) The insect population stabilizes near $11.93$ thousand.