Determine if the sequence is arithmetic (yes or no). If it is, find the common difference.

1. 35, 32, 29, 26 ...

2. - 30, - 40, - 50, - 60 ...

yes to both

Step-by-step explanation:

If the sequences are arithmetic then the common difference d, between adjacent terms will be equal.

35, 32, 29, 26, ...

d = 32 - 35 = 29 - 32 = 26 - 29 = - 3

Hence sequence is arithmetic

- 30, - 40, - 50, - 60, ...

d = - 40 - ( - 30) = - 40 + 30 = - 10

d = - 50 - ( - 40) = - 50 + 40 = - 10

d = - 60 - ( - 50) = - 60 + 50 = - 10

Hence sequence is arithmetic