Question

Which of the following is true regarding the sequence below?

A. The sequence is arithmetic because there is a common difference of 5/12.
B. The sequence is arithmetic because there is a common difference of 1.
C. The sequence is not arithmetic because there is no common difference between the values of n.
D. The sequence is not arithmetic because there is no common difference between the values of a_n.

Answer 1

The sequence is not arithmetic because there is no common difference between the values of n.

Step-by-step explanation:

The correct answer is C. The sequence is not arithmetic because there is no common difference between the values of n.

For a sequence to be arithmetic, there must be a consistent difference between each term. In this sequence, the values of n do not have a common difference. The terms are increasing and decreasing in an irregular pattern, which indicates that it is not an arithmetic sequence.

For example, if we consider the first few terms of the sequence: 1, 3, 3, 1, 1, we can see that there is no constant difference between consecutive terms. Therefore, the sequence is not arithmetic.