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Explanation:
The given sequence is 5, 12, 33, 96, 285, ...
The sequence of increases is: 7, 21, 63, 189
Then notice,
Assuming this pattern keeps up, the next increment will be 189*3 = 567
We add this increment to the last term of the original sequence
285+567 = 852
The sequence is now 5, 12, 33, 96, 285, 852, ...