Respuesta :

Answer:

an = 3^(n-1)

Step-by-step explanation:

(1,1)  (2,3)  (3,9)

The y values

1,3,9,.....

We are multiplying by 3 each time

This is a geometric sequence

The formula for a geometric sequence is

an = a1 (r) ^ (n-1)

 where a1 is the first term  r is the common ratio ( or what we multiply by) and n is the term number

a1 = 1

r =3

an = 1* (3) ^ (n-1)

an = 3^(n-1)