Answer:
[tex]a_{n}[/tex] = - 8n + 10
Step-by-step explanation:
the sequence has a common difference between consecutive terms , that is
- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 8 , then
[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10
