Answer:
This sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
U(n) = a + (n - 1 )d
a = first term
d = common difference
n = number of terms
From this sequence 1, 7, 13, 19
a = 1
d = 7-1 = 6
Therefore the nth term of the sequence is
U(n) = 1 + (n-1)6
= 1 + 6n - 6
= 6n - 5
The nth term of the sequence is 6n - 5
Hope this helps
