Use the Definition of Big- $O$ To Prove That 1 $( n - 1 )$

question 20

Essay

Use the definition of big- $O$ to prove that 1.2+2.3+3.4+...+ $( n - 1 )$ . $n$ is $O \left( n ^ { 3 } \right)$

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Definitions:

6 Weeks

A specific time period often used in various contexts, such as the typical healing time for minor medical conditions or the length of some psychological treatment programs.

3 Weeks

A time period equivalent to 21 days, often used to describe the duration of events, processes, or the onset of symptoms.

3 Months

A time period equivalent to approximately 90 days or one quarter of a year.

Early Adulthood

A life stage occurring after adolescence, typically characterized by independence, the pursuit of a career, and for many, forming a family.