# How do you tell whether the sequence 2, -5, -12, -19, -26# is arithmetic?

##### 1 Answer

Jul 17, 2017

Yes, sequence is arithmetic.

#### Explanation:

For a sequence to be arithmetic all consecutive terms must differ by a fixed amount

Thus if

In general:

In our sequence:

If the sequence is to be arithmetic:

Testing the next terms in tern:

Since all terms satisify the general condition, the sequence is arithmetic.