Verify That $a _ { n } = 6$ Is a Solution to the Recurrence Relation

question 27

Short Answer

Verify that $a _ { n } = 6$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

ABS Dash Light

A warning light on the dashboard indicating an issue with the Anti-lock Braking System.

Self-Test

An automated procedure used by electronic and mechanical systems to check their operational status and functionality.

Pulse Wheel Generator

A device that generates electrical pulses based on the rotation of a wheel, typically used in automotive applications for measuring speed or position.

ABS System

The Anti-lock Braking System, designed to help prevent the wheels on a vehicle from locking up while braking, allowing the driver to maintain more control during emergency stops.