Respuesta :

The 55th term of the arithmetic sequence is of 888.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the first term and the common ratio, are respectively, given by: [tex]a_1 = 8, d = 40 - 24 = 24 - 8 = 16[/tex]

Hence, the equation is:

[tex]a_n = 8 + 16(n - 1)[/tex]

And the 55th term is:

[tex]a_{55} = 8 + 16 \times 54 = 888[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461