Question

Consider the following sequence, f(n) = -8, -3, 2, 7, ... where f(n) represents the sequence.

A) The sequence is decreasing by 5 with each term
B) The sequence is increasing by 5 with each term
C) The sequence is constant
D) The sequence is random

Answer 1

The sequence f(n) = -8, -3, 2, 7, ... is increasing by 5 with each term.

Step-by-step explanation:

When considering the following sequence, f(n) = -8, -3, 2, 7, ..., we can determine the pattern of the sequence by looking at the differences between the terms. Starting from the first term, -8, and moving to the second term, -3, we observe an increase of 5. Similarly, moving from the second term, -3, to the third term, 2, there's another increase of 5. The same increase by 5 is observed when going from the third term, 2, to the fourth term, 7. Based on this pattern, we can conclude that the correct description for the sequence is B) The sequence is increasing by 5 with each term.