What is the 83rd term of the arithmetic sequence {a_n} = {-22, - 18, - 14, ... }

a. - 350

b. 302

c. 306

d. 354

The answer is c. 306

Arithmetic sequence is: x (n) = a1 + d (n - 1)

x (83) = ?

{a_n} = {-22, - 18, - 14, ... }

a1 = - 22

d = a2 - a1 = - 18 - (-22) = - 18 + 22 = 4

x (n) = a1 + d (n - 1)

x (83) = - 22 + 4 * (83 - 1)

x (83) = - 22 + 4 * 82

x (83) = - 22 + 328

x (83) = 306