Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { n ( n + 1 ) ( n + 2 ) }$$

question 150

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { n ( n + 1 ) ( n + 2 ) }$$

• A) converges; \(\frac { 4 } { 3 }\)
• B) converges; \(\frac { 1 } { 2 }\)
• C) converges; \(\frac { 3 } { 2 }\)
• D) diverges

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Definitions:

Wage Cut

A reduction in the rate of pay received by workers.

Productivity

A measure of the efficiency of production, often quantified as the ratio of outputs to inputs in the production process.

Separating Equilibrium

A situation in a game or market where different types of participants (often with private information) are sorted into different groups based on their actions or choices.

Klutzes

Informal for clumsy people who are often prone to accidents or mishandling objects.