Answer:
[tex]T_{n}[/tex] = 3n + 1
Step-by-step explanation:
There is a common difference between consecutive terms, that is
7 - 4 = 10 - 7 = 13 - 10 = 3
This indicates the sequence is arithmetic with nth term
[tex]T_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 3 , then
[tex]T_{n}[/tex] = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1
