Answer
first term: $-2$.
fourth term: $-250$.
eighth term: $-156250$.
Work Step by Step
Substituting $n=1$ in the given equation results in
$$
A(1)=-2\cdot5^{1-1}=-2\cdot5^0=-2\cdot1=-2
.$$Hence, the first term of the given sequence is $-2$.
Substituting $n=4$ in the given equation results in
$$
A(4)=-2\cdot5^{4-1}=-2\cdot5^3=-2\cdot125=-250
.$$Hence, the fourth term of the given sequence is $-250$.
Substituting $n=8$ in the given equation results in
$$
A(8)=-2\cdot5^{8-1}=-2\cdot5^7=-2\cdot78125=-156250
.$$Hence, the eighth term of the given sequence is $-156250$.
