Given the arithmetic sequence a_n = 3 + 2(n - 1), what is the domain for n?
All integers where n ≥ 0
All real numbers
All integers where n ≤ 1
All integers where n ≥ 1

Solution:

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 = 3 + 2(n - 1)

Since ‘n’ in a_n represents natural number or in other words positive integer which is greater than or equal to 1.

As ‘n’ represents the term number and the term number cannot be fraction, irrational or negative.

Therefore, the domain for n for the given arithmetic sequence a_n = 3 + 2(n - 1) is all integers where n ≥ 1.

Given the arithmetic sequence a_n = 3 + 2(n - 1), what is the domain for n?

Summary:

Given the arithmetic sequence a_n = 3 + 2(n - 1), the domain for ‘n’ is , all integers where n ≥ 1.