Final answer:
The sequence defined by an = 5 for n=1 and an = an-1 + 3 for n > 1, starts with the term a1 = 5, and is followed by terms found by adding 3 to the previous term, resulting in the first four terms: 5, 8, 11, and 14. Option c is the correct answer.
Step-by-step explanation:
The sequence can be generated by starting with the first term a1 = 5. Since for n > 1, the term an is defined as an = an-1 + 3, each subsequent term can be found by adding 3 to the preceding term. Therefore, the first four terms of the sequence are as follows:
5 (given)
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
Thus, the first four terms of the sequence are 5, 8, 11, and 14.
So the option C is the correct option among the given options.