Hi I need help with these math questions from my study guide for an upcoming test.

1.Identify the 42nd term of an arithmetic sequence where a₁ = 12 and a₂₇ = 66.

A.70

B. 72

C. 111

D.114

2.Identify the 27th term of an arithmetic sequence where a₁ = 38 and a₁₇ = 74.

A.20.5

B.151

C.22.75

D.144

3.Given the functions f(n) = 11 and g(n) = 2(n 1), combine them to an arithmetic sequence, a_n, and solve for the 31st term.

A. a_n = 11 2(n 1); a₃₁ = 49

B. a_n = 11 2(n 1); a₃₁ = 51

C. a_n = 11 + 2(n 1); a₃₁ = 71

D. a_n = 11 + 2(n 1); a₃₁ = 73

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

n |a_n

1 |9

2 |3

3 |3

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