Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 5 } \left( - 4 i ^ { 2 } - i ^ { 3 } \right)$$

question 199

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\sum _ { i = 1 } ^ { n } i = \frac { n ( n + 1 ) } { 2 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 3 } = \frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 4 } .$$
- $$\sum _ { i = 1 } ^ { 5 } \left( - 4 i ^ { 2 } - i ^ { 3 } \right)$$

• A) - 5340
• B) - 445
• C) - 1780
• D) 5

---

Definitions:

MMPI

The Minnesota Multiphasic Personality Inventory, a comprehensive psychological assessment tool used to diagnose mental disorders and assess personality structure.

Diverse Group

A collection of individuals with varying characteristics such as cultural, racial, sexual orientation, or socioeconomic backgrounds.

Personality Inventories

Psychometric tests designed to measure personality traits and characteristics, used in psychological assessments and research.

Projective Tests

Psychological assessments that use ambiguous stimuli to reveal subconscious thoughts, feelings, or desires.