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

question 336

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.

Grasp how the market value of a corporation's stock is determined and influenced.

Recognize the purpose and types of corporations (profit vs non-profit).

Understand the conditions and forms under which stock can be issued.

Learn about the role of dividends and retained earnings within a corporation.

---

Definitions:

Subcoerulear Nucleus

A region in the brainstem involved in pain modulation and the regulation of autonomic and arousal responses.

Medial Pontine Reticular Formation

A complex network of neurons located in the pons part of the brainstem, involved in regulating various autonomic functions and states of consciousness.

Atonia

A state of muscle relaxation occurring during REM (Rapid Eye Movement) sleep, preventing the sleeper from acting out dreams.

Peribrachial Area

A region in the brain involved in processing pain and modulating sleep-wake cycles, located around the brachium of the inferior colliculus.