Given the arithmetic sequence a_n = 4 + 8(n - 1), What is the domain for n?

Solution:

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 a_n = 4 + 8(n - 1), What is the domain for n?

Summary:

Given the arithmetic sequence a_n = 4 + 8(n - 1), the domain for n is N, the set of natural numbers.