Write the Sum Using Sigma Notation $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 999 \cdot 1000 }$

question 26

Multiple Choice

Write the sum using sigma notation. $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 999 \cdot 1000 }$

• A) \(\sum _ { n = 1 } ^ { 1000 } \frac { 1 } { n ( n + 1 ) }\)
• B) \(\sum _ { n = 1 } ^ { 1000 } \frac { 1 } { n ( n - 1 ) }\)
• C) \(\sum _ { n = 1 } ^ { 999 } \frac { 1 } { n ( n + 1 ) }\)
• D) \(\sum _ { n = 1 } ^ { 1001 } \frac { 1 } { n ( n + 1 ) }\)
• E) \(\sum _ { n = 1 } ^ { 999 } \frac { 1 } { n ( n - 1 ) }\)

---

Definitions:

Forming Department

A section within a manufacturing facility where materials are shaped or formed into parts or products.

Assembly Department

A section in a manufacturing facility where components are assembled into final products.

Direct Labor-Hours

The total hours worked by employees directly involved in manufacturing a product or providing a service, often used to allocate manufacturing overhead.

Machine-Hours

A measure of production activity that quantifies the total hours a machine is operated within a given period.