Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 7 - 2 = 12 - 7 = 17 - 12 = 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 5 , then
[tex]a_{n}[/tex] = 2 + 5(n - 1) = 2 + 5n - 5 = 5n - 3
Then
a₂₄ = 5(24) - 3 = 120 - 3 = 117
