Write the Sum Without Sigma Notation and Evaluate It $$\sum _ { k = 1 } ^ { 3 } ( - 1 ) ^ { k } ( k - 4 ) ^ { 2 }$$

question 129

Multiple Choice

Write the sum without sigma notation and evaluate it.
- $$\sum _ { k = 1 } ^ { 3 } ( - 1 ) ^ { k } ( k - 4 ) ^ { 2 }$$

• A) \(- ( 1 - 4 ) ^ { 2 } + ( 2 - 4 ) ^ { 2 } - ( 3 - 4 ) ^ { 2 } = 6\)
• B) \(( 1 - 4 ) ^ { 2 } - ( 3 - 4 ) ^ { 2 } = - 10\)
• C) \(- ( 1 - 4 ) ^ { 2 } - 2 ( 2 - 4 ) ^ { 2 } - 3 ( 3 - 4 ) ^ { 2 } = - 20\)
• D) \(- ( 1 - 4 ) ^ { 2 } + ( 2 - 4 ) ^ { 2 } - ( 3 - 4 ) ^ { 2 } = - 6\)

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