Write the Sum Using Summation Notation $$\frac { 1 } { x + 3 } + \frac { 2 } { x + 6 } + \frac { 6 } { x + 9 } + \frac { 24 } { x + 12 } + \frac { 120 } { x + 15 }$$

question 22

Multiple Choice

Write the sum using summation notation.
- $$\frac { 1 } { x + 3 } + \frac { 2 } { x + 6 } + \frac { 6 } { x + 9 } + \frac { 24 } { x + 12 } + \frac { 120 } { x + 15 }$$

• A) \(\sum _ { i = 1 } ^ { 5 } \frac { i ! } { x + 3 i }\)
• B) \(\sum _ { i = 1 } ^ { 5 } \frac { i ! } { x + i }\)
• C) \(\sum _ { i = 1 } ^ { 5 } \frac { 2 ^ { i - 1 } } { x + 3 i }\)
• D) \(\sum _ { i = 1 } ^ { 5 } \frac { i ! } { x + 3 }\)

---

Definitions:

Ming Court

Refers to the ruling establishment or royal court of the Ming dynasty, which governed China from 1368 to 1644.

Ideology

A system of ideas and ideals, especially one that forms the basis of economic or political theory and policy.

Imperial Family

The royal family of an empire, consisting of the emperor or empress and their relatives, often holding significant political and social influence.

Trabeated System

An architectural system that uses horizontal beams or lintels, which are supported by posts or columns, chiefly used in ancient Greek and Roman architecture.