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