Write the Word or Phrase That Best Completes Each Statement $$\left( \frac { 3 } { 4 } \right) ^ { n + 1 } < \frac { 3 } { 4 }$$

question 165

Essay

Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the following statement for all positive integers n.
- $$\left( \frac { 3 } { 4 } \right) ^ { n + 1 } < \frac { 3 } { 4 }$$

---

Definitions:

Interacting

The process by which two or more individuals influence each other’s behavior through verbal or non-verbal communication.

Factor Analysis

A statistical procedure used to determine the number of dimensions in a data set.

Personality Tests

Standardized tools used to evaluate an individual's character traits, dispositions, and values to understand personality.

Hypothesis

A formal prediction about the relationship between two or more variables that is logically derived from a theory.