The Sequence Is Defined Recursively $$a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$$

question 108

Multiple Choice

The sequence is defined recursively. Write the first four terms.
- $$a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$$

• A) 4, 20, 84, 340
• B) 4, 16, 64, 256
• C) 4, 12, 60, 252
• D) 4, 12, 44, 172

---

Definitions:

Decision Variable Range

The set of possible values that a decision variable can take in mathematical modeling and optimization problems.

Decision Variables

Variables in a mathematical model that decision-makers control in order to achieve the best solution to an optimization problem.

Constraint Function

Mathematical equations that express the limitations or requirements that must be satisfied in an optimization problem.

Inequality

A condition that arises when wealth, opportunities, or rights are unevenly distributed among individuals or groups.