Answer
See below.
Work Step by Step
According to the text of the exercise:
$a_1=-1$
$a_2=-5a_1=-5\cdot(-1)=5$
$a_3=-5a_2=-5\cdot5=-25$
$a_4=-5a_3=-5\cdot(-25)=125$
$a_5=-5a_4=-5\cdot125=-625$
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