# Chapter 12 Sequences and Series - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Problem Solving - Page 832: 43b

See below.

#### Work Step by Step

The population of the fish will decrease until it reaches a "stable" value when $a_n=a_{n-1}\\0.8a_{n-1}+500=a_{n-1}\\500=0.2a_{n-1}\\2500=a_{n-1}$ If the population becomes $2500$, it remains stable.

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