Use Mathematical Induction to Prove That the Statement Is True $0 < a < 1$

question 99

Essay

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

---

Definitions:

New Technologies

Emerging or recently developed technological advancements that have the potential to impact society, work, or specific industries.

Constant Learning

Constant Learning implies a lifelong commitment to acquiring new knowledge, skills, and competencies, often driven by curiosity and the pursuit of personal and professional development.

Innovation

The process of introducing new ideas, methods, products, or services to improve effectiveness, efficiency, or competitive advantage.

Change Competency

refers to an individual's or organization's ability to effectively manage and adapt to change, ensuring resilience and agility in dynamic environments.