Answer:
[tex]a_{n}[/tex] = 10 - 3n
Step-by-step explanation:
the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
where d is the common difference and [tex]a_{1}[/tex] the first term
here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and [tex]a_{1}[/tex] = 7, hence
[tex]a_{n}[/tex] = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n
