Use Mathematical Induction to Solve for All Positive Integers N $5 + 9 + 13 + 17 + \ldots + ( 4 n + 1 ) = ?$

question 4

Multiple Choice

Use mathematical induction to solve for all positive integers n.​ $5 + 9 + 13 + 17 + \ldots + ( 4 n + 1 ) = ?$ ​

• A) \(n ( 9 n + 3 )\)
• B) \(\frac { n ( 2 n + 3 ) } { 2 }\)
• C) \(n ( n + 3 )\)
• D) \(\frac { n ( n + 3 ) } { 9 }\)
• E) \(n ( 2 n + 3 )\)

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Definitions:

Humanistic Perspective

is an approach in psychology that emphasizes individual potential for growth and the importance of human values, creativity, and self-fulfillment.

Self-efficacy

An individual's belief in their own capability to successfully complete tasks or achieve goals.

Feelings of Inferiority

An individual's persistent sense of inadequacy or lack of self-worth compared to others, which can influence motivation and behavior.

Alfred Adler

An Austrian medical doctor and psychotherapist who founded the school of individual psychology and emphasized the importance of feelings of inferiority in the development of personality.