Answer:
D
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 2 - 5 = - 1 - 2 = - 4 - (- 1) = - 3
This indicates that the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = - 3, thus
[tex]a_{40}[/tex] = 5 - 3(39) = 5 - 117 = - 112 → D
