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Answered

Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.

Aa_n = 9 − 3(n − 1) where n ≤ 9
Ba_n = 9 − 3(n − 1) where n ≥ 1
Ca_n = 9 − 6(n − 1) where n ≤ 9
Da_n = 9 − 6(n − 1) where n ≥ 1

Verified Answer :

Using the formula:
an = a1 +(n-1)d

 a1 = 9 (first term of the sequence)
d= -6 (common difference)

Substituting into the formula:
an= a1 +(n-1)d
an = 9 + (n-1)(-6)
an = 9 - 6(n-1)

So the best answer is :D. a_n = 9 − 6(n − 1) where n ≥ 1

caarmstrong87

Answer:

D) a_n = 9 − 6(n − 1) where n ≥ 1

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