#### Answer

See below.

#### Work Step by Step

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 $a_2=0.8(a_1)+500=0.8(5000)+500=4500$
$a_3=0.8(a_2)+500=0.8(4500)+500=4100$
$a_4=0.8(a_3)+500=0.8(4100)+500=3780$
$a_5=0.8(a_4)+500=0.8(3780)+500=3524$.