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

question 102

Short Answer

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:

Mathematics

The abstract science of numbers, quantity, and space, either as abstract concepts (pure mathematics) or as applied to other disciplines such as physics and engineering (applied mathematics).

School Assignments

Tasks or projects given to students by teachers as part of their course of study.

Anxious Temperament

A predisposition to respond to potential threats with increased anxiety, reflecting a stable trait rather than a momentary state.

Behavioural Inhibition

A temperament in early childhood that may be related to anxiety disorders later in life, characterized by profound avoidance of others in preschool, and atypical autonomic nervous system responses to novelty.