Answer:
4th option
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence , that is
4 - (- 2) = 10 - 4 = 16 - 10 = 6
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 2 and d = 6 , then
[tex]a_{n}[/tex] = - 2 + 6(n - 1) = - 2 + 6n - 6 = 6n - 8
