Question

Is the following an arithmetic sequence? 5, 0, -5, -10,.?

Answer 1

yes

Explanation:

An arithmetic sequence is a sequence that has a pattern of addition or subtraction of the same number. Note that the first 4 terms of `5, 0, -5, -10,...` can be derived from

`sum_i^n -5(i)+5`

One rule of thumb to try is to subtract sequential terms and see if they are the same. Doing so will yield `-5`.