Final answer:
The question 'Is it arithmetic?' refers to whether a sequence has a common difference between its terms. In the given example, the common difference is 2, indicating it is an arithmetic sequence. The correct choice is option (b), which relates to the presence of a common difference.
Step-by-step explanation:
When a question asks "Is it arithmetic?" like in the example provided with the numbers 2, 4, 6, 8, 10, it is asking if the sequence is an arithmetic sequence. To determine this, one would check if there is a common difference between consecutive terms. In this case, the difference is 2 (4-2, 6-4, 8-6, 10-8), which means that there is indeed a common difference. Therefore, the answer to "Is it arithmetic?" would be yes, and more specifically, option (b) 'It means determining if there is a common difference between consecutive terms' is the correct choice.
To clarify, the arithmetic mean is a measure of central tendency and is commonly known as the average. This term refers to the sum of a set of values divided by the number of values. However, when we are asked whether a sequence is arithmetic, we are not finding an average, but rather identifying a property of the sequence, which is the uniform increment or decrement between its terms.