Write the Word or Phrase That Best Completes Each Statement $$1 + 3 + 3 ^ { 2 } + \ldots + 3 ^ { n - 1 } = \frac { 3 ^ { n } - 1 } { 2 }$$

question 79

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.
- $$1 + 3 + 3 ^ { 2 } + \ldots + 3 ^ { n - 1 } = \frac { 3 ^ { n } - 1 } { 2 }$$

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Definitions:

Land

A natural resource that denotes the earth's surface not covered by water, as well as the rights to use this surface.

Store Fixtures

Permanent or movable equipment and furniture in a retail store, designed to display merchandise effectively.

Equipment

Tangible property or assets used in the operation of a business to carry out specific tasks, excluding inventory or assets intended for sale.

Unearned Fees

Income received by a company for services yet to be provided; recognized as a liability until the service is performed.