Respuesta :

Answer:

[tex]a_n=2n[/tex]

Step-by-step explanation:

The given sequence is 2, 4, 6, ....

We need to write an explicit formula for [tex]a_n[/tex]. The firts term is 2, second term is 4 and third term is 6 and so on.

Each term is 2 greater than the term before it. Thus we can write it as follows :

[tex]a_n=2n[/tex]

Where

n = 1,2,3....

Hence, the explicit formula is [tex]a_n=2n[/tex].