Answer
The first six terms, in order, are: $-3, 9, -27, 81, -243, 729$
Work Step by Step
Substitute n with 1, 2, 3, 4, 5, 6
$a_{n}=(-3)^{n}$
$a_{1}=(-3)^{1}=-3$
$a_{2}=(-3)^{2}=9$
$a_{3}=(-3)^{3}=-27$
$a_{4}=(-3)^{4}=81$
$a_{5}=(-3)^{5}=-243$
$a_{6}=(-3)^{6}=729$