Answer:
[tex]a_{n}[/tex] = 60 - 15n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then
[tex]a_{n}[/tex] = 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n
