Write the Sum Without Using Sigma Notation $\sum _ { n = 1 } ^ { 10 } n \cdot 2 ^ { n }$

question 68

Multiple Choice

Write the sum without using sigma notation. $\sum _ { n = 1 } ^ { 10 } n \cdot 2 ^ { n }$

• A) \(2 ^ { 1 } + 2 ^ { 2 } + 2 ^ { 3 } + \ldots + 2 ^ { 10 }\)
• B) \(1 \cdot 4 ^ { 1 } + 2 \cdot 4 ^ { 2 } + 3 \cdot 4 ^ { 3 } + \ldots + 10 \cdot 4 ^ { 10 }\)
• C) \(1 \cdot 2 ^ { 1 } + 2 \cdot 2 ^ { 2 } + 3 \cdot 2 ^ { 3 } + \ldots + 10 \cdot 2 ^ { 10 }\)
• D) \(1 \cdot 2 ^ { 1 } + 2 \cdot 3 ^ { 2 } + 3 \cdot 4 ^ { 3 } + \ldots + 10 \cdot 2 ^ { 10 }\)
• E) none of these

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