Answer:
[tex]a_{n}[/tex] = 8n - 2
Step-by-step explanation:
The sequence has a common difference between consecutive terms , that is
14 - 6 = 22 - 14 = 8
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 = 6 and d = 8 , then
[tex]a_{n}[/tex] = 6 + 8(n - 1) = 6 + 8n - 8 = 8n - 2
