Use Sigma Notation to Write the Sum $$\frac { 1 } { 3 \cdot 2 } + \frac { 1 } { 4 \cdot 3 } + \cdots + \frac { 1 } { 9 \cdot 8 }$$

question 65

Multiple Choice

Use sigma notation to write the sum.
$$\frac { 1 } { 3 \cdot 2 } + \frac { 1 } { 4 \cdot 3 } + \cdots + \frac { 1 } { 9 \cdot 8 }$$

• A) \(\sum _ { n = 1 } ^ { 7 } \frac { 1 } { ( n + 1 ) ( n + 2 ) }\)
• B) \(\sum _ { n = 1 } ^ { 7 } \frac { 1 } { n ( n + 1 ) }\)
• C) \(\sum _ { n = 1 } ^ { 7 } \frac { n } { ( n + 2 ) ! }\)
• D) \(\sum _ { n = 1 } ^ { 5 } \frac { 1 } { ( n + 1 ) ( n + 2 ) }\)
• E) \(\sum _ { n = 0 } ^ { 6 } \frac { 1 } { ( n + 1 ) ( n + 2 ) }\)

---

Definitions:

Causation

The action of causing something, indicating a relationship where one factor or event makes another happen.

Hard Sciences

Disciplines that rely on empirical and quantitative data to study the natural world, typically including fields like physics, chemistry, and biology.

Soft Sciences

Fields of study that focus on human behavior and societies, characterized by subjective methodologies, such as psychology and sociology.

True Science

An approach to understanding the natural world through systematic observation, experiment, and evidence, distinguishing it from pseudoscience.