Explain Why the Following Statement Is True $$3 + 6 + 9 + \cdots + 3 n \text { is } O \left( n ^ { 2 } \right)$$

question 4

Essay

Explain why the following statement is true. (You may use the theorem on polynomial orders.) $$3 + 6 + 9 + \cdots + 3 n \text { is } O \left( n ^ { 2 } \right)$$

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Definitions:

k Ω

A unit of electrical resistance equal to one thousand ohms, often used in electronics and electrical engineering.

Charge Rate

Charge rate denotes the speed at which a battery or capacitive device is charged, typically measured in amperes or a relative percentage per hour.

Exponential

The rate at which current rises and falls in inductor or the rate at which capacitors charge and discharge.

Dielectric Stress

The electric stress or field strength within an insulating material, which can lead to breakdown if it exceeds the material's dielectric strength.