Answer:
1, 5, 17, 53, 161
Step-by-step explanation:
Given:
- [tex]a_n=3a_{n-1}+2[/tex]
First five terms of the sequence:
[tex]a_1=1[/tex]
[tex]a_2=3a_1+2=3(1)+2=5[/tex]
[tex]a_3=3a_2+2=3(5)+2=17[/tex]
[tex]a_4=3a_3+2=3(17)+2=53[/tex]
[tex]a_5=3a_4+2=3(53)+2=161[/tex]
