Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 3 } \left( - 4 - 2 i ^ { 3 } \right)$$

question 209

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\sum _ { i = 1 } ^ { n } i = \frac { n ( n + 1 ) } { 2 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 3 } = \frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 4 } .$$
- $$\sum _ { i = 1 } ^ { 3 } \left( - 4 - 2 i ^ { 3 } \right)$$

• A) - 150
• B) - 84
• C) - 216
• D) 132

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Definitions:

Formalization

The degree to which the organization has official rules, regulations, and procedures.

Differentiation

The process of distinguishing a product or service from others to make it more attractive to a particular target market.

Integration

The process of combining or coordinating separate elements into a unified whole, often seen in merging diverse groups or systems.

Horizontal Differentiation

The division of tasks, responsibilities, and operations across different departments or units within an organization on the same hierarchical level.