Question

Given the arithmetic sequence an = 2 − 5(n + 1), what is the domain for n? A. All real numbers

B. All integers where n ≥ 1

C. All integers where n > 1

D. All integers where n ≥ 2

Answer 1

The domain for the sequence is the value of n that would make the sequence true or possible. The values of n may range from 1 to positive infinity. n may be 1, 2, 3, .... The answer to this item is therefore letter "B. All integers where n ≥ 1. 

Answer 2

Option: B is the correct answer.

B. All integers where n ≥ 1

Explanation:

An arithmetic sequence is a sequence in which each term after the first term is obtained by adding a fixed number, the common difference, to the previous term.

So, the domain of the arithmetic sequence is the set of possible values at which it is defined.

Now,

we are given a arithmetic sequence as:

`a_n=2-5(n + 1)`

Now, the domain is:

B. All integers where n ≥ 1 .

( Since the terms are the first term, second term, third term and so on)