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].