What are the next four terms in the sequence: 3,001; 3; 3,002; 2,999; 3,003; 2,998; 3,004; 2,997; 3,005?

The given sequence is 3,001; 3; 3,002; 2,999; 3,003; 2,998; 3,004; 2,997; 3,005.
This pattern consists of two interleaved sequences.

The terms are $3,001; 3,002; 3,003; 3,004; 3,005$.
This sequence increases by 0.001 each time.
The next terms in this sequence would be $3,005 + 0.001 = 3,006$ and $3,006 + 0.001 = 3,007$.

The terms are $3; 2,999; 2,998; 2,997$. (Note: 3 can be written as 3.000)
This sequence decreases by 0.001 each time.
The next terms in this sequence would be $2,997 - 0.001 = 2,996$ and $2,996 - 0.001 = 2,995$.

The original sequence alternates between the two patterns.
The last term given is 3,005 (from the first sequence).
So, the next term will be from the second sequence: 2,996.
The term after that will be from the first sequence: 3,006.
The term after that will be from the second sequence: 2,995.
The term after that will be from the first sequence: 3,007.

The next four terms are: