Respuesta :

Answer:

an =6n

Step-by-step explanation:

6,     12,      18,     24

Take the 2nd number minus the first number,  3rd minus the second, etc

12-6  =6

18-12 = 6

24-18 =6

The common difference is 6

The formula for an arithmetic sequence is

an =a1+d(n-1)

 where a1 is the first term

  d is the common difference

 n is the term number

an = 6+6(n-1)

 Distributing

     = 6+6n-6

     = 6n