Write the Sum Without Sigma Notation and Evaluate It $$\sum _ { k = 1 } ^ { 3 } 2 ^ { k } \sin \frac { \pi } { 6 }$$

question 205

Multiple Choice

Write the sum without sigma notation and evaluate it.
- $$\sum _ { k = 1 } ^ { 3 } 2 ^ { k } \sin \frac { \pi } { 6 }$$

• A) \(2 + 4 + 8 = 14\)
• B) \(2 \sin \frac { \pi } { 6 } + 4 \sin \frac { \pi } { 6 } + 8 \sin \frac { \pi } { 6 } = 7 \sqrt { 3 }\)
• C) \(2 \sin \frac { \pi } { 6 } + 8 \sin \frac { \pi } { 6 } = 5\)
• D) \(2 \sin \frac { \pi } { 6 } + 4 \sin \frac { \pi } { 6 } + 8 \sin \frac { \pi } { 6 } = 7\)

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Definitions:

Inspection Cost

Expenses associated with the activity of checking and verifying the quality or standards of products or materials.

Mixed Cost

Mixed cost is an expense that has both fixed and variable components, meaning it changes with the level of activity but also incurs a base cost.

Least-squares Regression

A statistical method used to determine the line of best fit by minimizing the sum of squares of the errors between the observed and predicted values.

Variable Cost

Costs that change in proportion to the level of activity or production volume.