Given the arithmetic sequence an = 2 + 5n – 1, what is the domain for n?

To determine the domain for n in the arithmetic sequence defined by a_n = 2 + 5n – 1, we first need to simplify the expression.

Simplifying the equation gives us:

a_n = 1 + 5n

This sequence is defined for all real numbers since n can take on any real value without any restrictions. In an arithmetic sequence, the terms can be generated by choosing any integer (or real) value for n. Therefore, the only conditions we might consider would be from the context of the problem, such as whether we are looking for integer values of n or if n can be any real number.

As arithmetic sequences are not typically restricted to integers unless specified, the domain of n in this case is:

Domain: all real numbers