Answer:
[tex]O_3=90[/tex]
Step-by-step explanation:
Recursive formula of a sequence has been given as,
[tex]O_1=6[/tex]
[tex]O_{n+1}=3(O_n+3)[/tex]
We have to find the value of [tex]O_3[/tex]
For n = 2,
[tex]O_2=3(O_1+3)[/tex]
[tex]O_2=3(6+3)[/tex]
= 27
For n = 3,
[tex]O_3=3(O_2+3)[/tex]
= 3(27 + 3)
= 3(30)
= 90
