Find the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ^ { n } }$

question 162

Short Answer

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ^ { n } }$ .

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Definitions:

Public Interest Theory

Suggests that regulations are supplied in response to the demand of the public for the correction of inefficient or inequitable market practices.

Price-fixing Theory

The economic analysis concerning agreements between competitors to sell a product or service at a set price, limiting competition.

Public Ownership

Ownership of assets, enterprises, or resources by governmental organizations rather than individuals or private companies.

Natural Monopolies

Market situations where a single supplier is more efficient in serving the entire market due to high fixed costs and significant economies of scale, commonly seen in utilities.