Suppose That an Insect Population Density, in Thousands, During Year $$a _ { 1 } = 1 ; a _ { n } = 2.98 a _ { n - 1 } - 0.17 a _ { n - 1 } ^ { 2 } \quad \text { for } n > 1$$

Multiple Choice

Suppose that an insect population density, in thousands, during year n can be modeled by the recursively defined sequence: $$a _ { 1 } = 1 ; a _ { n } = 2.98 a _ { n - 1 } - 0.17 a _ { n - 1 } ^ { 2 } \quad \text { for } n > 1$$ Use technology to graph the sequence for n = 1, 2, 3, . . . , 20 . Describe what happens to the population density
Function.

A) The insect population increases every year.
B) The insect population stabilizes near 11.65 thousand.
C) The insect population stabilizes near 12.58 thousand.
D) The insect population stabilizes near 8.45 thousand.