Write the Word or Phrase That Best Completes Each Statement $1 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }$

question 6

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.
- $1 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }$

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Definitions:

Express Refusals

Express refusals are clear and direct declarations of denial, often communicated to decline offers, requests, or proposals.

Negative Messages

Communication that conveys bad news, rejection, or criticism, often requiring careful wording to maintain goodwill.

Phrases

Phrases are groups of words that work together as a linguistic unit, typically forming a component of sentences without a subject and predicate of their own.

Audience Alternative

suggests exploring different or additional groups of people to target as the audience for a message, product, or service beyond the initial or usual demographic.