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

question 173

Multiple Choice

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

• A) \(\frac { 1 ^ { 2 } } { 2 } + \frac { 2 ^ { 2 } } { 2 } + \frac { 3 ^ { 2 } } { 2 } + \frac { 4 ^ { 2 } } { 2 } = 15\)
• B) \(\frac { 1 ^ { 2 } } { 2 } + \frac { 4 ^ { 2 } } { 2 } = \frac { 17 } { 2 }\)
• C) \(\frac { 1 ^ { 2 } } { 2 } \cdot \frac { 2 ^ { 2 } } { 2 } \cdot \frac { 3 ^ { 2 } } { 2 } \cdot \frac { 4 ^ { 2 } } { 2 } = \frac { 567 } { 16 }\)
• D) \(\frac { 1 ^ { 2 } } { 2 } + \frac { 2 ^ { 2 } } { 2 } + \frac { 3 ^ { 2 } } { 2 } + \frac { 4 ^ { 2 } } { 2 } = \frac { 15 } { 2 }\)

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