What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?
A. an = 8 − 5(n − 1); all integers where n ≥ 1
B. an = 8 − 5(n − 1); all integers where n ≥ 0
C. an = 8 − 3(n − 1); all integers where n ≥ 1
D. an = 8 − 3(n − 1); all integers where n ≥ 0

The correct answer is:

C. ; all integers where n ≥ 1.

Step-by-step explanation:

In general, this is the standard explicit equation of an arithmetic sequence whose first term is and common difference (It is the difference between the terms) is .

If our arithmetic sequence has the first term 8 and second 5, thus the difference is -3.

The standard explicit equation is .

The domain in arithmetic sequence is always all integers where . There's no such thing as the negative fifth term or the 0.4th term of a sequence.