ANSWER
The common difference is
[tex]d = 3[/tex]
EXPLANATION
We want to find the common difference of the arithmetic sequence,
[tex]13, 16, 19, 22, 25, …[/tex]
The common difference is the constant difference between any two consecutive terms.
Thus,
[tex]d=a_n-a_{n-1}[/tex]
For instance the first and second term of the sequence has the difference,
[tex]d = 16 - 13 = 3[/tex]
Or the third and the second term has the difference,
[tex]d = 19 - 16 = 3[/tex]
Since this is an arithmetic sequence the difference is the same for any two consecutive terms.
