This is an example of a arithmetic sequence because the common difference is the same through the set of numbers;
14 - 10 = 4
18 - 14 = 4
22 - 18 = 4
Common Difference is 4.
Recursive Rule: an = a1 + (n - 1)d
an = nth term
a1 = first term
n = number of the term
d = common difference
We know that;
a1 = 10
n = placement of the number
d = 4
Put into the rule:
an = 10 + (n - 1)4
Best of Luck!
