Verify That $a _ { n } = 3^{n}$ Is a Solution to the Recurrence Relation

question 170

Short Answer

Verify that $a _ { n } = 3^{n}$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Caudillo

A military or political leader in Spanish-speaking countries, often associated with dictatorship or authoritarian rule.

Francisco Franco

A Spanish general who ruled over Spain as a military dictator from 1939 until his death in 1975, following the Spanish Civil War.

Gulags

Gulags were a system of forced labor camps established by the Soviet Union, used to detain political prisoners and criminals, notorious for their harsh conditions and violations of human rights.

Show Trials

Public trials in which the judicial authorities have already determined the guilt of the defendant, typically used as a political instrument.