Tell whether the sequence is arithmetic. If it is, what is the common difference? 19, 11, 3, - 5

The sequence is arithmetic and the common difference is - 8

Step-by-step explanation:

An arithmetic sequence is a sequence in which the rate at which each term is increasing or decreasing with respect to the consecutive term before it is linear. It is unlike geometric sequence in which the rate is exponential.

Looking at the given sequence,

19, 11, 3, - 5, the first term is higher than the term next to it. It means that terms are decreasing. Since the rate at which the terms are decreasing is linear, the sequence is arithmetic.

The common difference would be

11 - 19 = 3 - 11 = - 5 - 3 = - 8