Write Out the Sum $$\sum _ { k = 1 } ^ { n } 2 ^ { k + 1 }$$

question 142

Multiple Choice

Write out the sum. Do not evaluate.
- $$\sum _ { k = 1 } ^ { n } 2 ^ { k + 1 }$$

• A) \(2 ^ { 2 } + 2 ^ { 3 } + 2 ^ { 4 } + \ldots + 2 ^ { n + 1 }\)
• B) \(2 + 2 ^ { 2 } + 2 ^ { 3 } + \ldots + 2 ^ { n + 1 }\)
• C) \(2 + 2 ^ { 2 } + 2 ^ { 3 } + \ldots + 2 ^ { n }\)
• D) \(2 ^ { 2 } + 2 ^ { 3 } + 2 ^ { 4 } + \ldots + 2 ^ { n }\)

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Definitions:

Behaviorism

A theoretical perspective focused on observable behaviors and the ways in which they're learned, often emphasizing the role of external stimuli and responses.

Observable Behavior

is any action or conduct of an individual that can be seen or measured, often used in the study of psychology and organizational behavior.

Inner States

Psychological conditions or feelings that exist within an individual, influencing their behavior and perceptions.

James McGregor Burns

A political scientist known for his work on leadership and specifically for introducing the concept of transformational leadership.