Write the Word or Phrase That Best Completes Each Statement $2 + 5 + 8 + \ldots + ( 3 n - 1 ) = \frac { n } { 2 } ( 3 n + 1 )$

question 162

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.
- $2 + 5 + 8 + \ldots + ( 3 n - 1 ) = \frac { n } { 2 } ( 3 n + 1 )$

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Definitions:

Warren G Harding

The 29th President of the United States (1921-1923), whose term was marked by scandals such as the Teapot Dome scandal, although he also sought peace and prosperity post-World War I.

Tariff Policy

Government regulations related to taxes on imports or exports, designed to protect domestic industries or generate revenue.

Boston Police Force

Established in 1854, it is one of the oldest police departments in the United States, serving the city of Boston, Massachusetts.

Calvin Coolidge

The 30th President of the United States (1923-1929) known for his laconic style, conservative policies, and leadership during the Roaring Twenties.