Question

The explicit rule for an arithmetic sequence is an = -4 + (n - 1)7.

Answer 1

Answer:

The common difference of the arithmetic sequence is 7.

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

$a_n=a+(n-1)d$            .... (1)

where, a is first term of an AP and d is common difference.

The given explicit rule for an arithmetic sequence is

$a_n=-4+(n-1)7$              .... (2)

From (1) and (2), we get

$a=-4,d=7$

It means the first term of the arithmetic sequence is -4 and the common difference is 7.

Therefore the common difference of the arithmetic sequence is 7.

Answer 2

We know, the principle equation of Explicit rule is:
a(n) = a + (n - 1)d

Where, d = common difference

Compare the equations, 
Then, d = 7

In short, Your Answer would be: 7

Hope this helps!