Find the first five terms of the recursive sequence. 
Definitions:
Residents
Individuals who inhabit a particular place or area, living in a specific locale either temporarily or permanently.
Utility Function
Represents how different combinations of goods or services can provide varying levels of satisfaction or utility to an individual, emphasizing the subjective valuation of consumption.
Gasoline
An explosive, quick-to-evaporate substance made from petroleum, mainly serving as a fuel source in internal combustion engines.
Auto Repairs
Services aimed at fixing and maintaining vehicles for optimal performance.
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