Respuesta :

Answer:

a₄ = 75

Step-by-step explanation:

using the recursive formula and a₁ = 5 , then

a₂ = 2a₁ + 5 = 2(5) + 5 = 10 + 5 = 15

a₃ = 2a₂ + 5 = 2(15) + 5 = 30 + 5 = 35

a₄ = 2a₃ + 5 = 2(35) + 5 = 70 + 5 = 75

semsee45

Answer:

[tex]a_4=75[/tex]

Step-by-step explanation:

Given:

  • [tex]a_1=5[/tex]
  • [tex]a_n=2(a_{n-1})+5[/tex]

[tex]\implies a_2=2(a_1)+5=2(5)+5=15[/tex]

[tex]\implies a_3=2(a_2)+5=2(15)+5=35[/tex]

[tex]\implies a_4=2(a_3)+5=2(35)+5=75[/tex]