Answer:
[tex]a_{n}[/tex] = 39 - 10n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
19 - 29 = 9 - 19 = - 10
This indicates the sequence is arithmetic with nth term ( expicit formula )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 10 , then
[tex]a_{n}[/tex] = 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n
