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) $\frac { 1 ^ { 2 } } { 2 } + \frac { 2 ^ { 2 } } { 2 } + \frac { 3 ^ { 2 } } { 2 } + \frac { 4 ^ { 2 } } { 2 } = \frac { 15 } { 2 }$

Question

Quizplus · Accepted Answer

The correct expansion of the given sigma notation is the sum of each k squared divided by 2, from k=1 to k=4, which equals 15 when evaluated.

Write the Sum Without Sigma Notation and Evaluate It ∑k=14k22\sum _ { k = 1 } ^ { 4 } \frac { k ^ { 2 } } { 2 }k=1∑4​2k2​

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