Answer:
[tex]a_{n}[/tex] = 5n - 22
Step-by-step explanation:
The n th 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
Given a₂ = - 12 , then
a₁ + d = - 12 , that is
a₁ + 5 = - 12 ( subtract 5 from both sides )
a₁ = - 17
Thus
[tex]a_{n}[/tex] = - 17 + 5(n - 1)
= - 17 + 5n - 5
= 5n - 22
