Evaluate the Series, If It Converges $$3 - \frac { 6 } { 5 } + \frac { 12 } { 25 } - \frac { 24 } { 125 } + \ldots$$

question 332

Multiple Choice

Evaluate the series, if it converges.
- $$3 - \frac { 6 } { 5 } + \frac { 12 } { 25 } - \frac { 24 } { 125 } + \ldots$$

• A) \(- \frac { 6 } { 7 }\)
• B) \(\frac { 15 } { 7 }\)
• C) Does not converge
• D) \(\frac { 5 } { 7 }\)

---

Definitions:

John Maynard Keynes

A British economist whose theories on the causes of prolonged unemployment and recommendations for government intervention in economies to stimulate demand and avoid economic depressions have had a profound influence on modern economic and political theory.

Civil Penalty

A fine or monetary punishment levied by a government agency as a consequence of violating laws or regulations, not involving criminal prosecution.

Federal Reserve

The central banking system of the United States, responsible for monetary policy, regulation of banks, and stability of the financial system.

Interest Rates

The amount charged, expressed as a percentage of principal, by lenders to borrowers for the use of money as a loan, influencing economic activity.