Find the Sum, If It Exists $$\sum _ { i = 1 } ^ { \infty } 10 \left( - \frac { 5 } { 2 } \right) ^ { i - 1 }$$

question 3

Multiple Choice

Find the sum, if it exists.
- $$\sum _ { i = 1 } ^ { \infty } 10 \left( - \frac { 5 } { 2 } \right) ^ { i - 1 }$$

• A) \(\frac { 2 } { 7 }\)
• B) \(\frac { 20 } { 7 }\)
• C) \(- \frac { 50 } { 7 }\)
• D) Does not exist

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Definitions:

Supply

The total amount of a good or service available for purchase at any given price level, within a specified period.

Law of Demand

A fundamental economic principle stating that as the price of a product decreases, demand for it usually increases, and vice versa.

Surpluses

Situations in which the quantity of a good or service supplied exceeds the quantity demanded at the current price.

Market Prices

Refers to the specific values at which commodities, securities, or services are traded in a competitive marketplace.