Write the Sum Without Sigma Notation and Evaluate It $$\sum _ { k = 1 } ^ { 3 } 5 k \cos k \pi$$

question 79

Multiple Choice

Write the sum without sigma notation and evaluate it.
- $$\sum _ { k = 1 } ^ { 3 } 5 k \cos k \pi$$

• A) \(5 \cos \pi + 25 \cos 2 \pi + 125 \cos 3 \pi = - 105\)
• B) \(5 \cos \pi + 125 \cos 3 \pi = - 130\)
• C) \(5 \cos \pi + 25 \cos 2 \pi + 125 \cos 3 \pi = 105\)
• D) \(5 \cos \pi + 25 \cos \pi + 125 \cos \pi = - 155\)

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Definitions:

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Refers to a significant amount of financial assets or resources held by individuals, firms, or governments, enabling large investments in projects or ventures.

ATC Curve

The Average Total Cost (ATC) curve in economics represents the total cost per unit of output, calculated by dividing the total cost by the quantity of output produced.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers at various price levels.