Question

Given the arithmetic sequence an=4-4(n-1), what is the domain for n?

Answer 1

The domain for n is
`-\infty<n<\infty`

Step-by-step explanation:

The arithmetic sequence is

To determine the domain of the sequence, let us consider
`a_n` as
`f(n)`

Thus, the sequence becomes,
`f(n)=4-4(n-1)`

The domain of the function is the set of all x-values for which the function is real and well defined.

Since, the function has no domain constraints or undefined points. Therefore, the domain of the function is

Thus, the domain of the arithmetic sequence
`a_n=4-4(n-1)` is
`-\infty<n<\infty`