Answer:
[tex]a_{n}[/tex] = 30 - 5n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
20 - 25 = 15 - 20 = 15 - 20 = 10 - 15 = 5 - 10 = - 5
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 = 25 and d = - 5, thus
[tex]a_{n}[/tex] = 25 - 5(n - 1)
= 25 - 5n + 5
= 30 - 5n
