Respuesta :

Answer:

Step-by-step explanation:

The formula for the arithmetic sequence is

[tex]a_{n}=a_{1}+d(n-1)[/tex], where

n is the position of the number you are looking for, a₁ is the first number in the sequenc, and d is the arithmetic difference (the difference between each number in the sequence).  For us:

n = 20,

a₁ = 12, and

d = 3.  ∴

our formula is this one:

[tex]a_{20}=12+3(20-1)[/tex] and

[tex]a_{20}=12+3(19)[/tex] and

[tex]a_{20}=12+57[/tex] so

a = 69