Respuesta :

Answer: [tex]a_{n}=a_{n-1}-3[/tex]  ,  [tex]n\geq 2[/tex]

Step-by-step explanation:

[tex]a_{1}[/tex] = 18

The common difference = -3

Therefore :

[tex]a_{n}=a_{n-1}-3[/tex]  ,  [tex]n\geq 2[/tex]

check:

when n = 2

[tex]a_{2}= a_{1}-3[/tex]

[tex]a_{2}=18-3 = 15[/tex]