Find the first five terms of the sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$ , where $a _ { 1 } = 1$
A) $a _ { 1 } = 1$, $a _ { 2 } = 6$, $a _ { 3 } = 21$, $a _ { 4 } = 66$, $a _ { 3 } = 201$
B) $a _ { 1 } = 3$, $a _ { 2 } = 9$, $a _ { 3 } = 27$, $a _ { 4 } = 69$, $a _ { 3 } = 226$
C) $a _ { 1 } = 3$, $a _ { 2 } = 12$, $a _ { 3 } = 15$, $a _ { 4 } = 18$, $a _ { 3 } = 21$
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 sequence is calculated as follows: $a_1 = 1$, $a_2 = 3(a_1 + 1) = 6$, $a_3 = 3(a_2 + 1) = 21$, $a_4 = 3(a_3 + 1) = 66$, $a_5 = 3(a_4 + 1) = 201$.

Find the First Five Terms of the Sequence an=3(an−1+1)a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)an​=3(an−1​+1)

Find the First Five Terms of the Sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$