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

1 answer

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.