Transform the Following Summation by Making the Change of Variable $$\sum _ { k = 1 } ^ { n } \frac { k ^ { 2 } } { n }$$

question 18

Essay

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

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Definitions:

Pre-defined Methods

Functions or procedures that are provided by programming languages or libraries to perform specific tasks.

Reference Itself

In programming, typically referring to an object's ability to reference itself using keywords like "this" in Java or "self" in Python.

Data Member

An attribute or field within a class in object-oriented programming that stores data specific to each object instance created from the class.

Void

A keyword used in programming languages to indicate that a method does not return any value.