trentbrock6321 trentbrock6321
  • 14-01-2020
  • Mathematics
contestada

Work the following recursive problems. Find f(1), f(2), f(3) and f(4) if f(n) is defined recursively by f(0)=-1, f(1)=2 and for n=1,2,3...

Respuesta :

EamonnAdams1992 EamonnAdams1992
  • 14-01-2020

Answer:

-1, 2, 5, 8

Step-by-step explanation:

We can use the nth term equation to solve for f(3) and f(4):

[tex]f_n=a_1+(n-1)\cdot{d}[/tex]

Where d is the difference of term 1 and 2:

[tex]d=2-(-1)=3[/tex]

Therefore:

[tex]f_3=-1+(3-1)\cdot{3}=5[/tex]

[tex]f_4=-1+(4-1)\cdot{3}=8[/tex]

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