Question

Given the arithmetic sequence an = −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

Answer 1

All integers where n ≥ 1

Explanation:

The domain of a relation represents the set of inputs, or x-values.

In a sequence, these inputs are the term numbers; that is, 1st term, 2nd term, 3rd term, etc.

These are called the 'counting' numbers; they are all integers starting at 1. Therefore the domain is all integers where n ≥ 1 .

Answer 2

`a_n=-4+4(n-1)\\\\n\in\mathbb{N^+}\\\\therefore\ the\ domain\ for\ n\ is\\\\\boxed{\text{All integers where}\ n\geq1}`