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

See below.

According to the text of the exercise, the recursive rule is: $a_1=5000$ and $a_n=0.8\cdot a_{n-1}+500$. Thus $a_2=0.8(a_1)+500=0.8(5000)+500=4500$ $a_3=0.8(a_2)+500=0.8(4500)+500=4100$ $a_4=0.8(a_3)+500=0.8(4100)+500=3780$ $a_5=0.8(a_4)+500=0.8(3780)+500=3524$.