Question

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

What is the common difference of the arithmetic sequence?
d =

Answer 1

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!

Answer 2

The common difference of the arithmetic sequence is 7.

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.