Find a Formula for the General Term $a _ { n }$

question 22

Short Answer

Find a formula for the general term $a _ { n }$ of the sequence, assuming that the pattern of the first few terms continues. $\left\{ - \frac { 1 } { 2 } , \frac { 16 } { 3 } , - \frac { 81 } { 4 } , \frac { 256 } { 5 } , - \frac { 625 } { 6 } , \ldots \right\}$

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Definitions:

Dash Valve

A control valve, typically found in air brake systems of trucks, used to apply and release brakes.

Actuate

To cause a mechanical system or device to operate.

Air Tanks

Reservoirs used in pneumatic systems of vehicles, especially in air brake systems, to store compressed air needed for the operation of brakes and other components.