This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
2,996; 3,006; 2,995; 3,007
Another one Sekgothe — let's solve it.
Step 1: Identify the pattern. 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.
Step 2: Analyze the first interleaved sequence (terms at odd positions). The terms are . This sequence increases by each time. The next terms in this sequence would be and .
Step 3: Analyze the second interleaved sequence (terms at even positions). The terms are . (Note: can be written as ) This sequence decreases by each time. The next terms in this sequence would be and .
Step 4: Combine the next terms from both sequences. The original sequence alternates between the two patterns. The last term given is (from the first sequence). So, the next term will be from the second sequence: . The term after that will be from the first sequence: . The term after that will be from the second sequence: . The term after that will be from the first sequence: .
The next four terms are:
The next four terms in the pattern are .
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Another one Sekgothe — let's solve it. Step 1: Identify the pattern.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.