Final answer:
The value of the 36th term in the sequence 2, 5, 8, 11 is 107, calculated using the arithmetic sequence formula.
Step-by-step explanation:
The student has provided a sequence that starts with 2, 5, 8, 11 and asked for the value of the 36th term. To find the value, we can use the formula for an arithmetic sequence, which is an = a1 + (n - 1)d, where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference between the terms. In this case, the first term a1 is 2, and the common difference d is 3 (5 - 2).
Plugging the values into the formula gives us the 36th term: a36 = 2 + (36 - 1)×3 = 2 + 35×3 = 2 + 105 = 107. Therefore, the value of the 36th term in the sequence is 107.