Answer:
[tex]a_{n}[/tex] = 38 - 9n
Step-by-step explanation:
Note the common difference d between consecutive terms
d = 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 9, thus
[tex]a_{n}[/tex] = 29 - 9(n - 1) = 29 - 9n + 9 = 38 - 9n
