Final answer:
By substituting n = 1, 2, 3, and 4 into the arithmetic sequence formula an=3n-2, we find that the first four terms are 1, 4, 7, and 10.
Step-by-step explanation:
The given expression an=3n-2 defines an arithmetic sequence where n represents an individual term number. To find the first four terms of this sequence, we can plug the term numbers (1, 2, 3, and 4) into the formula.
- For the 1st term (n=1): a1 = 3(1) - 2 = 1
- For the 2nd term (n=2): a2 = 3(2) - 2 = 4
- For the 3rd term (n=3): a3 = 3(3) - 2 = 7
- For the 4th term (n=4): a4 = 3(4) - 2 = 10
Therefore, the first four terms of the sequence are 1, 4, 7, and 10.