### Home > PC > Chapter 8 > Lesson 8.2.6 > Problem8-152

8-152.

4! = 24 > 24 = 16 whereas 3! = 6 ≯ 23 = 8.

Assume that k! > 2k for k ≥ 4.

Hence, by mathematical induction we have proven that n! > 2n for n ≥ 4.