Final answer:
To find the first four terms of a sequence using a recursive formula, the formula is required. The options given suggest differing sequences, including arithmetic and geometric progressions, but without the specific recursive formula, the correct sequence cannot be identified.
Step-by-step explanation:
To determine the first four terms of the sequence given by a recursive formula, we would need the specific formula to begin the calculation. However, based on the options provided and common patterns in sequences, we can infer the following:
- Sequence a) increases by 6 each time: 7, 13, 19, 25
- Sequence b) increases by 7 each time: 6, 13, 20, 27
- Sequence c) decreases by 7 each time: 6, -1, -8, -15
- Sequence d) each term is multiplied by 7 each time: 6, 42, 294, 2,058
Without the actual recursive formula, we cannot definitively answer which sequence is correct. Further clarification is needed to provide an accurate response. Nevertheless, if we consider the common difference or ratio provided within each option, this can guide us to identify the nature of the sequence, whether arithmetic or geometric.