Given the arithmetic sequence a_n = -4 + 4(n - 1), what is the domain for n?
All integers
All integers where n ≥ 0
All integers where n ≥ 1
All integers where n > 1

Solution:

Option 3 is the answer.

A domain is ‘all the values’ that go into a function.

The domain of a function is the set of all possible inputs for the function.

Given:

Arithmetic sequence a_n = -4 + 4(n - 1)

On simplifying,

⇒ a_n = -4 + 4n -4

⇒ a_n = 4n - 8

The domain for n:

All integers where n ≥ 1

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

Summary:

For the given arithmetic sequence, a_n = -4 + 4(n - 1), the domain for n is, all integers where n ≥ 1.