Given the arithmetic sequence an = 2, 4n + 1, what is the domain for n?

The sequence defined by a_n = 2, 4n + 1 has specific values for n. To determine the domain of n, we need to consider the definition of the sequence.

In arithmetic sequences, n typically represents the term’s index, which typically starts from 1 and can extend to all natural numbers. Therefore, in this context, n should be a positive integer.

This means the domain for n is:

• n ∈ ℕ (the set of natural numbers), where n = 1, 2, 3, …

So, for the sequence a_n = 2, 4n + 1, the domain is all positive integers.