Respuesta :

angelicdragon12
[tex]a_{n}[/tex] represents the next number in the sequence

we can see that there is a common difference between each of the numbers:
4-2=2
6-4=2
8-6=2
10-8=2

[tex]a_{n-1}[/tex] represents the previous number in the sequence

[tex]a_{n}=a_{n-1}+2[/tex] this is the recursive formula for this equation

The last thing we need to do it double check the formula by plugging in numbers

[tex]a_{1}=a_{1-1}+2 \\ a_{1}=a_{0}+2 \\ 2=0+2 \\ 2=2[/tex]

we will skip to the last known number and check that one too

[tex]a_{5}=a_{5-1}+2 \\ a_{5}=a_{4}+2 \\ 10=8+2 \\ 10=10[/tex]
use the formula y+2=x over and over or just +2 or counting by twos