Determine Whether the Infinite Geometric Series Has a Finite Sum

question 90

Multiple Choice

Determine whether the infinite geometric series has a finite sum. If so, find the limiting value. 112 + 56 + 28 + . . .

• A) S_∞ = 224
• B) S_∞ = -224
• C) S_∞ = 56
• D) no finite sum

---

Definitions:

Total Surplus

The sum of consumer and producer surplus, reflecting the total benefit to society from the production and consumption of goods and services.

Consumer Surplus

The split between the maximum total consumers are prepared to pay for a product or service and the actual payment.

Producer Surplus

The gap between the minimum amount producers are willing to accept for providing a good or service and the actual amount they end up receiving.

Producer Surplus

The additional income a producer receives for selling a good or service above its production cost.