Find the Term of the Sequence Whose First Several $\frac { 1 } { 2 }$

question 70

Essay

Find the term of the sequence whose first several terms are $\frac { 1 } { 2 }$ , $4$ , $\frac { 1 } { 8 }$ , $16$ , ... .

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Definitions:

Shadow Price

A monetary value assigned to currently unpriced goods or services, reflecting their worth in terms of opportunity cost or their valuation in a constrained optimization problem.

Reduced Cost

In optimization, it's the difference between the cost of a non-basic variable and its contribution to the objective function, used in linear programming.

Linear Optimization Problems

Mathematical problems concerned with finding the best solution from a set of linear relationships, subject to certain constraints.

Cell Value

In the context of spreadsheet software, it refers to the data or formula contained within a specific cell.