Question

For the arithmetic sequence -3, -6, -9, ..., determine the related function. Is the function proportional or nonproportional?

(A) f(n) = -3n, proportional
(B) f(n) = -3n - 3, nonproportional
(C) f(n) = -3n + 3, proportional
(D) f(n) = -3, nonproportional

Answer 1

The related function for the arithmetic sequence -3, -6, -9, ... is f(n) = -3n, and it is proportional.

Step-by-step explanation:

The arithmetic sequence -3, -6, -9, ... can be represented by the function f(n) = -3n, where n represents the position of the term in the sequence. This function is proportional because it has a constant rate of change. In this case, the rate of change is -3, which means that each term in the sequence is obtained by subtracting 3 from the previous term.