Use Mathematical Induction to Prove That the Statement Is True $$\text { If } 0 < a < 1 \text {, then } a n < a n - 1$$

question 387

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$\text { If } 0 < a < 1 \text {, then } a n < a n - 1$$ (Assume that a is a constant.)

---

Definitions:

Pronoun

A word used in place of a noun to avoid repetition, such as he, she, it, they.

Disneyland

Disneyland is a well-known theme park located in Anaheim, California, founded by Walt Disney, featuring numerous attractions, characters, and entertainment based on Disney franchises.

Epcot

A theme park at Walt Disney World Resort featuring futuristic innovations and world cultures.

Right-handers

Individuals who predominantly use their right hand for tasks like writing and eating.