Determine if the sequence 7, 11, 15, 19, ... is arithmetic. If it is, find the common difference.

An arithmetic progression is a sequence in which the difference between a pair of consecutive numbers is equal. Let's solve an interesting problem related to this concept.

Let's see how we arrived at this solution.

Solution:

Carefully, observe the sequence 7, 11, 15, 19, ...

We see that each pair has a common difference of 4

Common difference = 11 - 7 = 15 - 11 = 19 - 15 = 4

Hence, by definition, the sequence 7, 11, 15, 19, ... is arithmetic, and its common difference is 4.

Determine if the sequence 7, 11, 15, 19, ... is arithmetic. If it is, find the common difference.

Summary:

The sequence 7, 11, 15, 19 is arithmetic, and the common difference is 4.