Verify That $a _ { n } = 3 ^ { n } + 1$

question 197

Essay

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

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Definitions:

Delusion

A false belief held with strong conviction despite superior evidence to the contrary, often occurring in psychological disorders.

Schizophrenia

A severe mental disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior.

Psychological Terms

Vocabulary or phrases used to describe concepts within the study of the mind, behavior, and emotions.

Attention-Deficit/Hyperactivity Disorder

A neurodevelopmental disorder characterized by a pattern of inattention, hyperactivity, and impulsivity that interferes with functioning or development.