Question

Is the sequence arithmetic? If so, identify the common difference.

13, 20, 27, 34, ...

(1 point)
Responses

no
no

yes; 13
yes; 13

yes; 7
yes; 7

yes; -7

Answer 1

To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant.

The terms of the sequence are:
1. 13
2. 20
3. 27
4. 34

Now, let's find the differences between consecutive terms:

- 20 - 13 = 7
- 27 - 20 = 7
- 34 - 27 = 7

Since the difference between each pair of consecutive terms is the same (7), the sequence is indeed arithmetic.

Thus, the common difference is **7**.

The correct response is: **yes; 7**.