Evaluate the Series, If It Converges $$\sum _ { i = 1 } ^ { \infty } 40 \left( - \frac { 7 } { 10 } \right) ^ { i - 1 }$$

question 314

Multiple Choice

Evaluate the series, if it converges.
- $$\sum _ { i = 1 } ^ { \infty } 40 \left( - \frac { 7 } { 10 } \right) ^ { i - 1 }$$

• A) \(\frac { 400 } { 17 }\)
• B) Does not converge.
• C) \(\frac { 10 } { 17 }\)
• D) \(- \frac { 280 } { 17 }\)

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Definitions:

Fiscal Policy

Refers to government actions regarding taxation and spending aimed at influencing a country's economy.

Monetary Growth Rate

The rate at which the amount of money in circulation increases over a specific period.

Money Supply

The lump sum of monetary assets available in an economy at a particular point.

Real Wages

The purchasing power of wages or income, considering the effects of inflation on buying capacity.