Question

In a sequence described by a function, what does the notation f(3)=1 mean?

A. The first term in the sequence has a value of 3.
B. The common ratio of the sequence is 3.
C. The third term in the sequence has a value of 1.
D. The common difference of the sequence is 3.

Answer 1

In a sequence described by a function, f(3)=1 means that when the input to the function is 3, the output is 1.

Step-by-step explanation:

In a sequence described by a function, the notation f(3)=1 means that when the input to the function is 3, the output is 1. This is similar to plugging in a value for x in an equation and getting the corresponding y value. So, if f(x) represents the sequence, when x is equal to 3, the corresponding value of the sequence is 1.

In the context of a sequence described by a function, the notation f(3)=1 means that when the function f is applied to the input value 3, the output is 1. This translates to option C: The third term in the sequence has a value of 1. This is a common way of expressing individual terms in a sequence, where f(n) would refer to the nth term in the sequence.