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:

Borderline

Borderline, often related to Borderline Personality Disorder, describes a mental health condition characterized by instability in moods, self-image, and behavior, leading to impulsive actions and problems in relationships.

Personality Disorder

A type of mental disorder characterized by enduring maladaptive patterns of behavior, cognition, and inner experience, deviating significantly from those accepted by the individual's culture.

Instability

The quality of being prone to change, unpredictability, or lack of consistency, often leading to unpredicted outcomes or difficulties.

Exorcism

A religious or spiritual practice of evicting demons or other spiritual entities from a person or place believed to be possessed.