Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 6 } 3 i$$

question 156

Multiple Choice

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

• A) \(\frac { 63 } { 2 }\)
• B) 171
• C) \(\frac { 63 } { 4 }\)
• D) 63

---

Definitions:

Personality Attributes

Qualities or features that are inherent in one's character, contributing to their overall personality and the way they interact with the world around them.

Gender

A social construct regarding the roles, behaviors, activities, and attributes that a given society considers appropriate for men and women.

Heredity

The passing on of physical or mental traits genetically from one generation to another.

Life Experiences

The events, activities, and occurrences that a person goes through in their life, contributing to their growth and development.