Answer:
f(2) = 3
Step-by-step explanation:
We have that,
The recursive formula of the sequence is [tex]f(n+1)=-f(n)+5[/tex], n> 0.
Also, [tex]f(0)=3[/tex].
Then, the next term is, [tex]f(1)=f(0+1)=-f(0)+5[/tex] i.e. [tex]f(1)=-3+5[/tex] i.e. [tex]f(1)=2[/tex].
Thus, we have,
[tex]f(2)=f(1+1)=-f(1)+5[/tex] i.e. [tex]f(2)=-2+5[/tex] i.e. [tex]f(2)=3[/tex].
Thus, f(2) is 3.