The sequence is defined recursively. Write the first four terms.
-$$a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$$
A) 4, 20, 84, 340
B) 4, 16, 64, 256
C) 4, 12, 60, 252
D) 4, 12, 44, 172

Question

Quizplus · Accepted Answer

The sequence starts with $a_1 = 4$. For $n \geq 2$, $a_n = 4a_{n-1} - 4$. So, $a_2 = 4(4) - 4 = 16 - 4 = 12$, $a_3 = 4(12) - 4 = 48 - 4 = 44$, and $a_4 = 4(44) - 4 = 176 - 4 = 172$.

The Sequence Is Defined Recursively a1=4 and an=4an−1−4 for n≥2a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2a1​=4 and an​=4an−1​−4 for n≥2

The Sequence Is Defined Recursively $a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$