2,—4,8,—16

Pattern Identification:

(-4/2 = -2), (8/(-4) = -2), (-16/8 = -2).

Expressed using powers of 2 and alternating signs:

or equivalently,

(a_n = 2 cdot (-2)^{n-1}).

Next Terms:

(-16

imes (-2) = 32).

Conclusion:

The sequence is geometric with a common ratio of (-2). The next term is 32.