To find the domain for n in the arithmetic sequence defined by an = 4, 3n, 1, we first need to clarify the structure of this sequence.
This sequence seems to be defined for different values of n. If we interpret this as an explicit formula for a sequence where the nth term depends on n, we can analyze what values n can theoretically take.
Assuming the sequence has the form:
- For a1 = 4,
- For a2 = 3n, and
- For a3 = 1.
For n to be an integer and allow the sequence to remain valid, we need to evaluate the nature of the sequence and its constraints. Since no restrictions were mentioned in the original question, we generally consider that n can take any integer value as it usually applies in arithmetic sequences.
However, if any specific conditions were meant to be applied, such as restrictions on n due to a particular context in which the sequence operates, then those would need to be clarified. Thus, without additional context, the following applies:
The domain for n can be all integers: {n ∈ ℤ}
This is because in typical arithmetic sequences, n can take any whole number value to say what term in the sequence we are referring to.