Answer:
f(3) = 68
Step-by-step explanation:
Given:
[tex]\sf f(1)=2[/tex]
[tex]\sf f(n) = f(n-1)^2+4[/tex]
[tex]\sf \implies f(2) = f(1)^2+4[/tex]
[tex]\sf \implies f(2) = 2^2+4=8[/tex]
[tex]\sf \implies f(3) = f(2)^2+4[/tex]
[tex]\sf \implies f(3) = 8^2+4=68[/tex]
