The sequence is defined recursively. Write the first four terms. -a1 = 2, a2 = 5 and a_n = a_n- 2 - 3a_n- 1 for n ≥ 3 A) 2, 5, -13, 44 B) 2, 5, -1, -16 C) 2, 5, 17, -46 D) 2, 5, 1, 2

Question

Quizplus · Accepted Answer

The sequence starts with a1 = 2 and a2 = 5. For n ≥ 3, the recursive formula is a_n = a_(n-2) - 3a_(n-1). Calculating: a3 = 2 - 3(5) = -13, a4 = 5 - 3(-13) = 44. Thus, the first four terms are 2, 5, -13, 44.

The Sequence Is Defined Recursively