Question

An arithmetic sequence has this recursive formula:

(a=7
1er = 8-1-4
What is the explicit formula for this sequence?
A. an = 7 + (n - 4)(-1)
B. an=-4+(n-1)7
C. an = 7+ (n-1)(-4)
D. a, = (-1) + (n - 7)(-4)

Answer 1

The explicit formula for the arithmetic sequence is an = 7 - (n - 1).

Step-by-step explanation:

The explicit formula for the given arithmetic sequence can be found using the general formula:

an = a1 + (n - 1)d

where an represents the nth term, a1 is the first term, and d is the common difference. In this case, a1 = 7 and d = -1. Plugging these values into the formula, we get:

an = 7 + (n - 1)(-1)

which simplifies to:

an = 7 - (n - 1)

Therefore, the explicit formula for the sequence is an = 7 - (n - 1), option A.