ericaaramoss19 ericaaramoss19
  • 21-03-2020
  • Mathematics
contestada

If f(1) = 2 and f(n) =f(n-1)^2 + n then find the value of f(3)

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 21-03-2020

Answer:

[tex]f(3) = 16[/tex]

Step-by-step explanation:

Step 1:  Find the value of f(2)

[tex]f(2) = f(2-1)^2[/tex]

[tex]f(2) = f(1)^2[/tex]

[tex]f(2) = (2)^2[/tex]

[tex]f(2) = 4[/tex]

Step 2:  Find the value of f(3)

[tex]f(3) = f(3 - 1)^2[/tex]

[tex]f(3) = f(2)^2[/tex]

[tex]f(3) = (4)^2\\[/tex]

[tex]f(3) = 16[/tex]

Answer:  [tex]f(3) = 16[/tex]

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