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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Definitions:

Actual Overhead

The real expenses incurred during a period for indirect costs, differing from budgeted or estimated overhead.

Schedule of Cost

A detailed report or document that itemizes and categorizes the various costs associated with a project or production, often used for budgeting and financial analysis.

Job Costing System

An accounting method used to assign costs to specific jobs or projects, tracking expenses to assess profitability.

Factory Overhead

Factory overhead refers to the indirect costs associated with manufacturing, such as utilities, maintenance, and salary of supervisory staff.