Answer:
[tex]a_{n}[/tex] = - 7n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7
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 = - 8 and d = - 7 , then
[tex]a_{n}[/tex] = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1
