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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