please help me in this question!

Answer:
n = 5
Step-by-step explanation:
All of the other choices are true except for n = 5, which is a counterexample. [tex]4^{5}[/tex] = 1024, which is greater than the other side as the other side is:
and [tex]4^{2}[/tex] = 16, 16 + 250 = 266
1024 < 266 is definitely false.
Therefore, the counterexample is n = 5.