Final answer:
Set A cannot be accurately described by the formula A = x since the differences between consecutive numbers are not constant and do not follow a linear progression.
Step-by-step explanation:
The student is asking how to write set A = {5, 10, 17, 26, 37} in set-builder form. To express this set in set-builder form, we need to find a pattern or rule that generates the numbers in set A. Looking at the numbers given, there doesn't seem to be a simple arithmetic progression because the differences between consecutive members of the set are not constant (e.g., 10-5=5, 17-10=7, 26-17=9, 37-26=11). Therefore, the set A cannot be described by the given form A = x = 5n + 2, n ∈ ℕ since this implies a linear function with a constant difference, which is not the case for set A.