Find the Sum of the Sequence $$\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( - \frac { 1 } { 2 } \right) ^ { \mathrm { k } }$$

question 237

Multiple Choice

Find the sum of the sequence.
- $$\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( - \frac { 1 } { 2 } \right) ^ { \mathrm { k } }$$

• A) \(\frac { 5 } { 16 }\)
• B) \(\frac { 15 } { 16 }\)
• C) \(- \frac { 1 } { 16 }\)
• D) \(- \frac { 5 } { 16 }\)

---

Definitions:

Schizophrenia

A major mental disturbance involving significant impairments in logical processing, perceptual experiences, emotional states, linguistic abilities, ego, and action.

Socioeconomic Groups

Categories of individuals based on their economic, occupational, and educational status, influencing their lifestyle, behavior, and opportunities.

Schizophrenia

A noteworthy mental dysfunction characterized by disruption in mental operations, sensory interpretations, affectivity, communicative proficiency, self-awareness, and lifestyle.

Psychosis

A mental disorder characterized by a disconnection from reality, which may include hallucinations and delusions.