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Bunuel
An infinite sequence \(a_1\), \(a_2\), \(a_3\), … \(a_n\) can be defined as \(a_n=3n–a_{n−1}\), where n > 1 and \(a_1 = 1\). Which of the following represents the first 5 terms of the sequence?

A. 1, 5, 4, 8, 16
B. 1, 5, 4, 8, 7
C. 1, 6, 10, 2, 13
D. 1, 2, 3, 5, 10
E. 1, 7, 16, 28, 43

We are given that a_n = 3n - a_(n-1)

The first term is a_1 = 1

For n = 2, we have a_2 = 3(2) - 1 = 5

For n = 3, we have a_3 = 3(3) - 5 = 4

For n = 4, we have a_4 = 3(4) - 4 = 8

For n = 5, we have a_5 = 3(5) - 8 = 7

Answer: B
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