hibyehibyebye1022 hibyehibyebye1022
  • 22-04-2020
  • Mathematics
contestada

f(n) = 93 + 4(n − 1)

Complete the recursive formula of f(n).

f(1) =_____

f(n) = f(n − 1)+____

Respuesta :

xero099
xero099 xero099
  • 23-04-2020

Answer:

[tex]f(1) = 93[/tex], [tex]f(n) = f(n-1) +4[/tex]

Step-by-step explanation:

The value of f(1) is:

[tex]f(1) = 93 +4\cdot (1-1)[/tex]

[tex]f(1) = 93[/tex]

The values for n and n-1, are respectively:

[tex]f(n-1) = 93 + 4\cdot (n-2)[/tex]

[tex]f(n) = 93 + 4\cdot (n-1)[/tex]

After some algebraic manipulation, the following expression is obtained:

[tex]f(n) = 93 + 4\cdot (n-2) + 4[/tex]

[tex]f(n) = f(n-1) +4[/tex]

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