Tell whether the sequence is arithmetic. If it is, what is the common difference?
3,7,12,18,
(1 point)
• Yes, 4
• Yes, 5
• Not arithmetic
• Yes, 3
Not arithmetic
Are you sure
Yes, I am sure. The sequence 3, 7, 12, 18 does not have a common difference. To determine if a sequence is arithmetic, we need to check if the difference between each consecutive term is constant. In this case, the differences are 7-3 = 4, 12-7 = 5, and 18-12 = 6, which are not the same. Therefore, the sequence is not arithmetic.
To determine whether a sequence is arithmetic, we need to check if there is a common difference between consecutive terms. To find the common difference, we can subtract any term from the next term.
Let's find the differences between consecutive terms:
7 - 3 = 4
12 - 7 = 5
18 - 12 = 6
Since the differences are not constant, the sequence is not arithmetic. Therefore, the correct answer is:
• Not arithmetic