Look at the pattern in magnitudes:
12→24→48→96→?→384
]
Each term is multiplied by 2.
Now track the signs:
−12,;+24,;48,;+96,;?,;+384
The signs follow a pattern:
−,+,+,+,−,+
So the missing term should be negative.
Step:
96×2=192
With correct sign:
−192