Question

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...

Answer 1

yes to both

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