Find the first five terms of the sequence $a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3$
A) $a _ { 1 } = 1$, $a _ { 2 } = 6$, $a _ { 1 } = 21$, $a _ { 4 } = 66$, $a _ { 3 } = 201$
B) $a _ { 1 } = 3$, $a _ { 2 } = 9$, $a _ { \jmath } = 27$, $a _ { 4 } = 69$, $a _ { 3 } = 226$
C) $a _ { 1 } = 3$, $a _ { 2 } = 8$, $a _ { 3 } = 23$, $a _ { 4 } = 68$, $a _ { 3 } = 203$
D) $a _ { 1 } = 1$, $a _ { 2 } = 7$, $a _ { 3 } = 22$, $a _ { 4 } = 67$, $a _ { 3 } = 202$
E) none of these

Question

Quizplus · Accepted Answer

The correct answer is C because the sequence is given by the formula $a _ { n } = 3 a _ { n - 1 } - 1$, and the first term is given as $a _ { 1 } = 3$. So, the first five terms are:$a _ { 1 } = 3$$a _ { 2 } = 3 a _ { 1 } - 1 = 3 ( 3 ) - 1 = 8$$a _ { 3 } = 3 a _ { 2 } - 1 = 3 ( 8 ) - 1 = 23$$a _ { 4 } = 3 a _ { 3 } - 1 = 3 ( 23 ) - 1 = 68$$a _ { 5 } = 3 a _ { 4 } - 1 = 3 ( 68 ) - 1 = 203$

Find the First Five Terms of the Sequence an=3an−1−1, where a1=3a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3an​=3an−1​−1, where a1​=3

Find the First Five Terms of the Sequence $a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3$