The value of x in the sequence is 6
An arithmetic sequence is a list of numbers in which the difference between consecutive terms is constant.
The nth term of an arithmetic sequence is given as
a(n) = a + (n-1)d
where a is the first term and d is the common difference.
The common difference in the sequence is
d = 4½ - 3
d = 1½
Therefore;
x = 1 ½ + 4½
x = 6
Therefore the value of x in the sequence is 6