Final answer:
The explicit formula for the given arithmetic sequence is an = an-1 - 2. The correct answer is b. 8,6,4,2,0,…
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given as an = a1 + (n - 1)d, where a1 is the first term, n is the term number, and d is the common difference.
In this case, a1 = 8 and an = an-1 - 2.
To find the explicit formula for this arithmetic sequence, we can substitute the values for a1 and an into the formula.
a1 = 8, an-1 = (8 - 2 = 6), and an = (6 - 2 = 4).
So, the explicit formula for this arithmetic sequence is: an = an-1 - 2 = 6 - 2 = 4.
Therefore, the correct answer is b. 8,6,4,2,0,….