Answer:
[tex]a_{n}[/tex] = - 9n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 19 - (- 10) = - 28 - (- 19) = - 9
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 = - 10 and d = - 9 , then
[tex]a_{n}[/tex] = - 10 - 9(n - 1) = - 10 - 9n + 9 = - 9n - 1
