Transform the Following Summation by Making the Change of Variable $$\sum _ { k = 0 } ^ { n } \frac { k ^ { 2 } } { k + n }$$

question 28

Essay

Transform the following summation by making the change of variable i = k + 1: $$\sum _ { k = 0 } ^ { n } \frac { k ^ { 2 } } { k + n }$$

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Definitions:

Societies

Groups of individuals who share a common culture, institutions, or identity, often living together within a defined geographical area.

Economics

The social science that studies how individuals, businesses, governments, and nations make choices on allocating resources to satisfy their needs and wants.

Society Manages

How collective groups of individuals govern, organize, or handle societal functions and resources.

Limited Wants

The concept that the desires or needs of human beings are finite or restricted due to limited resources and time.