Question

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n?A All integers where n ≥ 1B All integers where n > 1C All integers where n ≤ 4D All integers where n ≥ 4

Answer 1

Recall that a sequence is a function with domain the natural number, now, notice that:

$\N=\mleft\lbrace n\in\Z\colon n\ge1\mright\rbrace\text{.}$

Therefore the domain of a sequence is all integers such that n≥ 1.

Answer: Option A.