Tell whether the sequence is arithmetic. If it is, what is the common difference?
9, 14, 20, 27,,...
The sequence is not arithmetic.
What is the common difference
Since the sequence is not arithmetic, there is no common difference.
To determine if a sequence is arithmetic, we need to check if there is a common difference between consecutive terms. In this case, let's calculate the differences between consecutive terms:
14 - 9 = 5
20 - 14 = 6
27 - 20 = 7
The differences are not the same for each pair of consecutive terms. Since there is no constant difference between the terms, we can conclude that the given sequence is not arithmetic.