Respuesta :

Answer:

Option B

Step-by-step explanation:

First term of the given arithmetic sequence 'a' = -3

Common difference in each successive term 'd' = -8 - (-3)

                                                                             d = -5

Explicit formula for an arithmetic sequence will be,

[tex]A_n=a+(n-1)d[/tex]

Here, n = number of term

[tex]A_n[/tex] = nth term of the sequence

[tex]A_n=(-3)+(n-1)(-5)[/tex]

For n = 23,

[tex]A_{23}[/tex] = -3 + (23 - 1)(-5)

     = -3 - 110

     = -113

Option B is the answer.