Evaluate the Series, If It Converges $10 - \frac { 40 } { 3 } + \frac { 160 } { 9 } - \frac { 640 } { 27 } + \ldots$

question 224

Multiple Choice

Evaluate the series, if it converges.
- $10 - \frac { 40 } { 3 } + \frac { 160 } { 9 } - \frac { 640 } { 27 } + \ldots$

• A) \(- \frac { 40 } { 7 }\)
• B) \(- \frac { 30 } { 7 }\)
• C) \(\frac { 40 } { 7 }\)
• D) Does not converge

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Definitions:

Empirical

Relies on, deals with, or can be proven through watching or undergoing something firsthand rather than through theoretical or strictly logical means.

Comparative

Involving the assessment or analysis of similarities and differences between two or more entities.

Pragmatic

A practical approach to problems and affairs, focusing on the results and consequences of actions.