Find a Recurrence Relation and Initial Condition for the Number

question 10

Essay

Find a recurrence relation and initial condition for the number of fruit flies in a jar if there are 12 flies initially and every week there are six times as many flies in the jar as there were the previous week.

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Definitions:

Excess Supply

Occurs when the quantity of a good or service supplied is greater than the quantity demanded at a given price.

Supply Function

A mathematical expression representing how the quantity supplied of a good is influenced by its price and possibly other factors.

Demand Function

A mathematical expression that describes the relationship between the quantity of a good demanded and its price.

Coconuts

The large, hard-shelled seeds of the coconut palm, used as food and for making various products.