What is the difference in meaning between these sentences?

- Mike was taking his test the week after.
- Mike was taking his test (the) next week.
- Mike was taking his test the following week.

Full Member237
Without 'the', #2 can only refer to a real future week; the other forms refer to a week which is in a future viewed from the past. With 'the', the meanings are the same.

Veteran Member114,965
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does the following week after make sense?