Write the Sum Without Sigma Notation and Evaluate It $$\sum _ { \mathrm { k } = 1 } ^ { 3 } 5 ^ { \mathrm { k } } \sin \frac { \pi } { 6 }$$

question 67

Multiple Choice

Write the sum without sigma notation and evaluate it.
- $$\sum _ { \mathrm { k } = 1 } ^ { 3 } 5 ^ { \mathrm { k } } \sin \frac { \pi } { 6 }$$

• A) \(5 \sin \frac { \pi } { 6 } + 125 \sin \frac { \pi } { 6 } = 65\)
• B) \(5 + 25 + 125 = 155\)
• C) \(5 \sin \frac { \pi } { 6 } + 25 \sin \frac { \pi } { 6 } + 125 \sin \frac { \pi } { 6 } = \frac { 155 } { 2 }\)
• D) \(5 \sin \frac { \pi } { 6 } + 25 \sin \frac { \pi } { 6 } + 125 \sin \frac { \pi } { 6 } = \frac { 155 } { 2 } \sqrt { 3 }\)

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Definitions:

C

A general-purpose programming language that provides constructs that map efficiently to typical machine instructions.

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A standard unit of measure in the International System of Units (SI), used globally for scientific and standard measurements.

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