kinneyriley0 kinneyriley0
  • 18-09-2019
  • Mathematics
contestada

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

Respuesta :

ghanami
ghanami ghanami
  • 18-09-2019

Answer:

f(1) = 31

Step-by-step explanation:

since  f(n+1) -f(n) = -3

this sequence is arithmetic when the common diff is d= -3

the general term is :

f(n) = f(1) +(n-1)d

put n = 4

f(4) = f(1)+(4-1)(-3)

22 = f(1) - 9

f(1) = 31

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