for option b why does doing 34=3n-1 give u the answer instead of 3(34)-1=tn on question 8

Correct option are:
A and C
Explanation:Question 8
To know which of the options contain 34, we test each of them
[tex]t_n=6+(n-1)4[/tex]For n = 8
[tex]\begin{gathered} t_8=6+(8-1)(4) \\ =6+28 \\ =34 \end{gathered}[/tex]Also
[tex]\begin{gathered} t_1=12,d=5.5,t_n=34 \\ \\ t_n=12+(n-1)5.5 \\ \\ 34=12+(n-1)5.5 \\ 34-12=(n-1)5.5 \\ n-1=\frac{22}{5.5} \\ \\ n=4+1=5 \end{gathered}[/tex]A and C are the correct options