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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Definitions:

False Consciousness

A term used in Marxist theory to describe the way in which material, ideological, and institutional processes mislead members of the proletariat about their real interests.

Superstructure

All of the things that society values and aspires to once its material needs are met (e.g., religion, politics, law).

Exploitation

The act of unfairly or unjustly using someone or something for one's own benefit, often at the expense of the exploited party's welfare.

Ideology

A system of ideas, beliefs, and values that shapes the way individuals perceive and interpret the world.