Question

Please explain with your answer

Answer 1

D

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

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = - 3, thus

`a_(40)` = 5 - 3(39) = 5 - 117 = - 112 → D