Write the Word or Phrase That Best Completes Each Statement

question 130

Essay

Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$3 + 3 \cdot \frac { 1 } { 7 } + 3 \cdot \left( \frac { 1 } { 7 } \right) ^ { 2 } + \ldots + 3 \cdot \left( \frac { 1 } { 7 } \right) ^ { n - 1 } = \frac { 3 \left( 1 - \left( \frac { 1 } { 7 } \right) ^ { n } \right) } { 1 - \frac { 1 } { 7 } }$$

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Definitions:

Point System

A method used for evaluating achievements or compliance, where points are assigned based on performance or adherence to rules.

Allocate Points

The process of distributing or assigning a numerical value or points to various categories or items for evaluation or comparison.

Subfactors

Constituent elements or components that contribute to a larger factor or condition, often used in analysis or assessment.

Wage Rates

The standardized amount of pay that is given to employees per unit of time worked, often expressed hourly, daily, or annually.