The arithmetic sequence 1, 3, 5, 7, 9, . . represents the set of odd natural numbers. what is the explicit rule for the sequence?

The explicit rule for the sequence is that the numbers sequence have a difference of 2.  

Step-by-step 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.  

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8