Find a Formula for the General Term of the Sequence $$\left\{ - \frac { 1 } { 2 } , \frac { 16 } { 3 } , - \frac { 81 } { 4 } , \frac { 256 } { 5 } , - \frac { 625 } { 6 } , \ldots \right\}$$

question 38

Short Answer

Find a formula for the general term 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:

Management Function

A set of core tasks or responsibilities such as planning, organizing, leading, and controlling aimed at effectively running an organization.

Planning

Planning is the process of setting goals, defining strategies, and outlining tasks and schedules to achieve desired outcomes, serving as a roadmap for future actions.

Organising

The process of assigning tasks, allocating resources, and arranging activities to implement plans.

Sales Forecasting

A business activity that estimates the future sales of a company's products or services based on historical data, market trends, and analysis.