Use Mathematical Induction to Prove That the Statement Is True $$6 ^ { n } > n$$

question 250

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$6 ^ { n } > n$$

---

Definitions:

Serial Endosymbiosis Hypothesis

A theory suggesting that eukaryotic cells evolved from prokaryotic organisms through a series of symbiotic events.

Mitochondria

Organelles within cells that generate most of the cell's supply of ATP, used as a source of chemical energy, and also involved in other processes such as signaling and cellular differentiation.

Chloroplasts

Organelles found in plant cells and eukaryotic algae that conduct photosynthesis, capturing light energy to synthesize organic compounds such as glucose.

Photosynthetic Autotrophs

Organisms that can manufacture their own food through the process of photosynthesis, using light energy to convert CO2 and water into glucose.