Answer:
The explicit rule for the sequence is that the numbers sequence have a difference of 2.
Explanation:
The sequence is an arithmetic progression. The sequence represent set of odd natural numbers but the arithmetic formula can be used to understand the sequence progression.
An = a +(n-1)d
a = first term
n = number of term
d = difference
The difference can be computed as follows ;
An = 7
a = 1
n = 4
An = a +(n-1)d
7 = 1 + (4-1)d
7 = 1 + 3d
7 - 1 = 3d
6 = 3d
d = 2
The explicit rule for the sequence is that the number sequence have a difference of 2.