Answer:
[tex]T_{n}[/tex] = 4n - 13
Step-by-step explanation:
There is a common difference d between consecutive terms , that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - 1 = 7 - 3 = 4
This indicates the sequence is arithmetic with n th term
[tex]T_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4, thus
[tex]T_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
