Use Mathematical Induction to Prove That the Statement Is True $$n ! > 3 n , \text { for } n \geq 4$$

question 285

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$n ! > 3 n , \text { for } n \geq 4$$

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Definitions:

Lymph Nodes

Small, bean-shaped structures that are part of the lymphatic system, playing a crucial role in filtering harmful substances and aiding in the immune response.

Endocrine System

A network of glands and organs that produce, store, and secrete hormones to regulate the body's growth, metabolism, and sexual function.

Hormones

Chemical substances produced by glands in the body that regulate the activity of certain cells or organs.

Bloodstream

The flowing body fluid that circulates throughout the body via the circulatory system, carrying oxygen, nutrients, and hormones to various tissues and removing carbon dioxide and other wastes.