Answer:
[tex]a_3_0=52[/tex]
Step-by-step explanation:
The sequence tell us that it begins from -6 and increases by a factor of 2 every time, so one possible sequence could be:
[tex]a_n=2(n-4)\hspace{10}n\in N[/tex]
Now we have identified the sequence, let's evaluate it for n=30:
[tex]a_3_0=2(30-4)=2(26)=52[/tex]