Answer:
The common difference of the arithmetic sequence is 7.
Step-by-step explanation:
The explicit rule for an arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex] .... (1)
where, a is first term of an AP and d is common difference.
The given explicit rule for an arithmetic sequence is
[tex]a_n=-4+(n-1)7[/tex] .... (2)
From (1) and (2), we get
[tex]a=-4,d=7[/tex]
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.
