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:

Inheritance

The transmission of genetic information from parents to offspring, or the reception of traits, property, or titles by legal succession or will.

Personality

The unique combination of emotional, attitudinal, and behavioral response patterns of an individual.

Cattell

A reference to Raymond Cattell, a psychologist known for his work in personality theory, including the development of the 16 personality factor model.

Personality

The fusion of distinct traits that constitute a person's unique character.