Find the First Five Terms of the Sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right) , \quad a _ { 1 } = 1$

question 93

Essay

Find the first five terms of the sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right) , \quad a _ { 1 } = 1$ , which is defined recursively.

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Definitions:

Nationalism

A political ideology and movement that holds that the interests of a particular nation-state are of primary importance, often accompanied by a sense of national consciousness and patriotism.

Colonialism

The practice of gaining full or partial control over another country, occupying it with settlers, and exploiting it economically.

Venustiano Carranza

A leader in the Mexican Revolution who became President of Mexico, serving from 1917 to 1920, and played a key role in drafting the progressive Mexican Constitution of 1917.

Mexican Revolution

A major armed struggle from 1910 to 1920 that radically transformed Mexican culture and government, leading to the end of the dictatorship of Porfirio Diaz.