Respuesta :
if f(n+1)= -f(n) +5
then f(2)=-f(1)+5
we don't know f(1) yet. Use the same rule as above:
f(1)=-f(0)+5, we do know that f(0)=3, so f(1)=-3+5=2
so f(2)=-f(1)+5=-2+5=3
then f(2)=-f(1)+5
we don't know f(1) yet. Use the same rule as above:
f(1)=-f(0)+5, we do know that f(0)=3, so f(1)=-3+5=2
so f(2)=-f(1)+5=-2+5=3
Answer:
value of f(2) is, 3
Step-by-step explanation:
As per the statement::
[tex]f(0) = 3[/tex]
and recursive formula is given as:
[tex]f(n+1) = -f(n)+5[/tex] .....[1] [tex]n\geq 0[/tex]
To find the value of f(2):
Substitute n = 0 in [1] we have;
[tex]f(1) = -f(0)+5[/tex]
⇒[tex]f(1) = -3+5 = 2[/tex]
⇒[tex]f(1) = 2[/tex]
Now. substitute n =1 we have;
[tex]f(2) = -f(1)+5[/tex]
⇒[tex]f(2) = -2+5 = 3[/tex]
⇒[tex]f(2) = 3[/tex]
Therefore, the value of f(2) is, 3
