Graph the Function Corresponding to the Sequence Defined $n$ Can Be Modeled by the Recursively Defined Sequence

Multiple Choice

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-Suppose that an insect population density, in thousands, during year $n$ can be modeled by the recursively defined sequence: $a _ { 1 } = 1 ; a _ { n } = 2.67 a _ { n - 1 } - 0.17 a \underset { n - 1 } { 2 } \quad$ 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 $6.62$ thousand.
B) The insect population stabilizes near $9.82$ thousand.
C) The insect population increases every year.
D) The insect population stabilizes near $10.75$ thousand.