Tell whether the sequence is arithmetic. If it is, what is the common difference? 9, 14, 20, 27,,.... Part A) Is the sequence arithmetic? (1 point) Responses No, the sequence is NOT arithmetic. No, the sequence is NOT arithmetic. Yes, the sequence is arithmetic. Yes, the sequence is arithmetic. Not possible to determine.
Yes, the sequence is arithmetic.
Part B) What is the common difference?(1 point) Responses The common difference is 9 The common difference is 9 The common difference is 5 The common difference is 5 The common difference is 7 The common difference is 7 The common difference is 8 The common difference is 8 There is no common difference. There is no common difference. The common difference is 10 The common difference is 10 The common difference is 6
The common difference is 6.
To determine whether a sequence is arithmetic, we need to check if there is a constant difference between each pair of consecutive terms.
To find the common difference, we can calculate the differences between consecutive terms in the sequence.
Let's calculate the differences:
14 - 9 = 5
20 - 14 = 6
27 - 20 = 7
Looking at these differences, we can see that they are not the same. The first difference is 5, the second is 6, and the third is 7.
Since the differences are not constant, the sequence is not arithmetic.
Therefore, the correct response is: No, the sequence is NOT arithmetic.