Question

Write the arithmetic sequence using the explicit formula: a1=8,an​=an−1​−2.

a. 8,6,4,2,0,…
b. 8,10,12,14,16,…
c. 8,10,8,6,4,…
d. 8,6,8,10,12,…

Answer 1

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,….