Respuesta :

Answer

Missing term in the sequence = 36

Explanation

Looking at the sequence, we can see that it is a geometric progression.

And the general form for the nth term of an geometric progression is

aₙ = a (rⁿ⁻¹)

where

aₙ = nth term = 3rd term

a = first term = 4

n = number of terms = 3

r = common ratio = ratio of consecitive terms = (second term)/(first term) = (fifth term)/(fourth term) = (12/4) = (324/108) = 3

For the third term now,

aₙ = a (rⁿ⁻¹)

a₃ = 4 (3³⁻¹)

a₃ = 4 (3²)

a₃ = 4 (9)

a₃ = 36

Hope this Helps!!!