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

question 185

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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Overconfidence

Overconfidence refers to an individual's unwarranted belief in their own abilities or the correctness of their judgement, often leading to mistakes or failures.

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The outcome or resolution reached through a process of deliberation and discussion among members of a group.

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Choices made based on moral principles and values, considering what is right and just.