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  • 22-06-2022
  • Mathematics
contestada

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
-10
-O13
-31
-34

Respuesta :

Medunno13
Medunno13 Medunno13
  • 28-06-2022

Answer: 31

Step-by-step explanation:

If n=3, [tex]f(4)=f(3)-3 \longrightarrow 22=f(3)-3 \longrightarrow f(3)=25[/tex]

If n=2, [tex]f(3)=f(2)-3 \longrightarrow 25=f(2)-3 \longrightarrow f(2)=28[/tex]

If n=1, [tex]f(2)=f(1)-3 \longrightarrow 28=f(1)-3 \longrightarrow f(1)=\boxed{31}[/tex]

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