Given the arithmetic sequence an = -1+7(n - 1), what is the domain for n?

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.

A progression is a sequence of numbers that follow a specific pattern.

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same. 

In any sequence, geometric, arithmetic or harmonic

n is the number of terms which starts from a₁, a₂ ….. a_n.

As we make use of n to count the number of terms, it can take values of natural numbers.

So the domain of n is N which is the set of natural numbers.

Here n ∈ N.

Therefore, the domain for n is N, the set of natural numbers.

Given the arithmetic sequence an = -1+7(n - 1), what is the domain for n?

Summary:

Given the arithmetic sequence a_n = -1+7(n - 1), the domain for n is N, the set of natural numbers.