Question

A certain sequence is defined as the function f(n) , where f(n)=3n−1 . The first 5 terms of the sequence are 2, 5, 8, 11, and 14. What is the domain of f(n) ?

the set of all integers
the set of all real numbers
the set of positive integers
the set of positive real numbers

Answer 1

The domain of the function f(n) = 3n - 1 is the set of positive integers.

Step-by-step explanation:

To determine the domain of the function f(n) = 3n - 1, which generates the sequence 2, 5, 8, 11, and 14, we must consider what types of numbers n can be to produce these terms.

Since this is a sequence, n must be a discrete value that counts the terms, typically starting from 1, 2, 3, and so on, which implies that n is a positive integer.

Therefore, the domain of f(n) is the set of positive integers.