The Sequence Is Defined Recursively $a _ { 1 } = 2 , a _ { 2 } = 5$

question 53

Multiple Choice

The sequence is defined recursively. Write the first four terms.
- $a _ { 1 } = 2 , a _ { 2 } = 5$ and $a _ { n } = a _ { n - 2 } - 3 a _ { n } - 1$ for $n \geq 3$

• A) \(2,5 , - 1 , - 16\)
• B) \(2,5 , - 13,44\)
• C) \(2,5,1,2\)
• D) \(2,5,17 , - 46\)

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Definitions:

Inefficient Allocations

Situations where resources are not optimally distributed, often leading to waste or unmet potential within an economy or system.

Price Ceilings

A cap set by the government on the maximum price that can be asked for a good, service, or resource.

Producer Surpluses

The difference between the actual price a producer receives for a product and the minimum price they would be willing to accept.

Willingness to Pay

The maximum amount an individual is prepared to spend on a good or service, reflecting its value to them.