Question

Given the arithmetic sequence an = −1 + 7(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

The domain for n in the arithmetic sequence is all integers where n ≥ 1.

Step-by-step explanation:

The domain for n in the arithmetic sequence is all integers where n ≥ 1. In this sequence, the value of n represents the position of the term in the sequence. Since the first term of the sequence is represented by n=1, n can't be less than 1 because there is no zeroth term in the sequence. Therefore, the domain for n is all integers where n ≥ 1.

Answer 2

An arithmetic sequence is that in which the consecutive terms share or have the same difference commonly referred to as the "common difference". The terms in the arithmetic sequence always starts with the term 0 or the initial value. In this item, the value of n should be greater than or equal to. Therefore the answer is the second choice.

If we are to get the first term of the arithmetic sequence, it will become,
first term:
a0 = (-1) + 7(0 - 1) = -8

Therefore, the first term is equal to -8.