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

A. a_n = 9 - 3 (n - 1) where n ≤ 9

B. a_n = 9 - 3 (n - 1) where n ≥ 1

C. a_n = 9 - 6 (n - 1) where n ≤ 9

D. a_n = 9 - 6 (n - 1) where n ≥ 1

Question

Nickolas Mccullough

Mathematics

6 March, 04:37

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

A. a_n = 9 - 3 (n - 1) where n ≤ 9

B. a_n = 9 - 3 (n - 1) where n ≥ 1

C. a_n = 9 - 6 (n - 1) where n ≤ 9

D. a_n = 9 - 6 (n - 1) where n ≥ 1

+2

Answers (1)

Know the Answer?

Rachel Hood · Answer 1

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

Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.A. a_n = 9 - 3 (n - 1) where n ≤ 9B. a_n = 9 - 3 (n - 1) where n ≥ 1C. a_n = 9 - 6 (n - 1) where n ≤ 9D. a_n = 9 - 6 (n - 1) where n ≥ 1

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

A. a_n = 9 - 3 (n - 1) where n ≤ 9

B. a_n = 9 - 3 (n - 1) where n ≥ 1

C. a_n = 9 - 6 (n - 1) where n ≤ 9

D. a_n = 9 - 6 (n - 1) where n ≥ 1