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:

Control Processes

Mechanisms (including selective attention, metacognition, and emotional regulation) that combine memory, processing speed, and knowledge to regulate the analysis and flow of information within the information-processing system. Also called executive processes.

Information-Processing

A cognitive approach that compares the human mind to a computer, emphasizing how information is taken in, used, stored, and retrieved.

Brain

The central organ of the human nervous system, housed within the skull, responsible for coordinating sensory information and directing bodily responses.

Selective Attention

The process by which a person focuses on one input or task while ignoring other stimuli.