Question

Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.. . a_n = 40 + 7(n − 1) where n ≥ 40 . . a_n = 40 + 7(n − 1) where n ≥ 1 . . a_n = 40 − 7(n − 1) where n ≥ 40 . . a_n = 40 − 7(n − 1) where n ≥ 1 .

Answer 1

The arithmetic sequence is 40, 47, 54 etc. In this case, the arithmetic difference is 7 and a1 being the first term is 40. Hence the arithmetic equation is an = 40 + 7*(n-1) where an is the nth term and n is an integer. Hence the answer to this problem is B.a_n = 40 + 7(n − 1) where n ≥ 1