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

question 94

Multiple Choice

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

• A) \(- \sin \frac { 3 \pi } { 2 } - \sin \frac { 3 \pi } { 2 } = 2\)
• B) \(- \sin \frac { 3 \pi } { 2 } + \sin \frac { 3 \pi } { 2 } - \sin \frac { 3 \pi } { 2 } = 0\)
• C) \(- \sin \frac { 3 \pi } { 2 } + \sin \frac { 3 \pi } { 2 } - \sin \frac { 3 \pi } { 2 } = - 1\)
• D) \(- \sin \frac { 3 \pi } { 2 } + \sin \frac { 3 \pi } { 2 } - \sin \frac { 3 \pi } { 2 } = 1\)

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