Find the Sum of the Infinite Series $\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 1 } { 10 } \right) ^ { i }$

question 188

Multiple Choice

Find the sum of the infinite series. $\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 1 } { 10 } \right) ^ { i }$

• A) \(\frac { 4 i } { 9 }\)
• B) \(\frac { 4 } { 9 }\)
• C) \(\frac { 9 i } { 4 }\)
• D) \(- \frac { 4 i } { 9 }\)
• E) \(\frac { 9 } { 4 }\)

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Definitions:

Consumer Surplus

The difference between the total amount that consumers are willing and able to pay for a good or service versus the total amount that they actually do pay.

Third-Degree Price Discrimination

Practice of dividing consumers into two or more groups.

Price Elasticities

Measures of how the quantity demanded or supplied of a good responds to a change in its price.

Marginal Revenue

The additional income gained from selling one more unit of a product or service.