Respuesta :

Answer:

[tex]an = 2.5 + (n - 1)(-5)[/tex]

Step-by-step explanation:

we know that

The explicit formula for the nth term of an arithmetic sequence is given by the formula

[tex]an = a1 + (n - 1)r[/tex]

where

a1 is the first term

n is the term number

r is the common difference

In this problem we have

[tex]a1=2.5, r=-5[/tex]

substitute

[tex]an = 2.5 + (n - 1)(-5)[/tex]