A Sequenceis $\left\{ a _ { n } \right\}$ Defined Recursively by the Equation

question 58

Multiple Choice

A sequenceis $\left\{ a _ { n } \right\}$ defined recursively by the equation $a _ { n } = 0.5 \left( a _ { n - 1 } + a _ { n - 2 } \right)$ for $n \geq 3$ where $a _ { 1 } = 14 , a _ { 2 } = 14$ .
Use your calculator to guess the limit of the sequence. Select the correct answer.

• A) 6
• B) 14
• C) 26
• D) 17
• E) 15

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Definitions:

Dual-Actuated Wedge Brakes

A braking system that utilizes a wedge action forced by dual mechanisms to increase friction and stop a vehicle efficiently.

Mechanical Braking Efficiencies

The effectiveness of a braking system in converting mechanical energy into heat to slow down or stop a vehicle.

S-cam Actuated Brakes

A type of drum brake that is activated by a rotating S-shaped cam to push brake shoes against a rotating drum.

Spring Brake Priority System

A braking system that utilizes spring force for activation, often as a fail-safe or parking brake mechanism.