Respuesta :

Answer:

a₆ = 972

Step-by-step explanation:

Given a₁ = 4 and [tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] , then

a₂ = 3a₁ = 3 × 4 = 12

a₃ = 3a₂ = 3 × 12 = 36

a₄ = 3a₃ = 3 × 36 = 108

a₅ = 3a₄ = 3 × 108 = 324

a₆ = 3a₅ = 3 × 324 = 972