## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$$\displaystyle a_1=4\\ a_2=14 \\ a_3=44 \\a_4=134 \\ a_5= 404$$
We are given that $a_n=3a_{n-1}+2$ and $a_1=4$. In order to determine the remaining values, we will have to substitute $n=2,3,4,5$ into the given sequence: $$\displaystyle a_2=3a_1+2=(3)(4)+2=14 \\ a_3=3 a_2+3=(3) (14)+2=44 \\a_4=3 a_3+2=(3)(44)+2=134 \\ a_5=3a_4+2=(3)(134)+2=404$$