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

---

Definitions:

Recognize Stimulus

The process by which an organism identifies and responds to sensory information that signifies important or relevant events.

Visuospatial Sketchpad

A component of working memory that allows for the manipulation and storage of visual and spatial information.

Rehearsal Loop

A cognitive process in which information is repeated mentally to keep it in short-term memory longer.

Conceptual Hierarchy

An organized structure of concepts, ranging from the most general to the most specific, that helps in understanding and organizing knowledge.