Find the Sum of the Geometric Series, If Possible $$\sum _ { i = 1 } ^ { 8 } 7 \left( \frac { 4 } { 5 } \right) ^ { i - 1 }$$

question 101

Multiple Choice

Find the sum of the geometric series, if possible.
- $$\sum _ { i = 1 } ^ { 8 } 7 \left( \frac { 4 } { 5 } \right) ^ { i - 1 }$$

• A) \(\frac { 11836867 } { 390625 }\)
• B) \(\frac { 325089 } { 78125 }\)
• C) \(\frac { 432187 } { 15625 }\)
• D) \(\frac { 2275623 } { 78125 }\)

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Definitions:

Marginal Product

The additional output that is generated by adding one more unit of a specific input, holding all other inputs constant.

Marginal Cost Curve

The curve illustrating the change in total production cost with the addition of one more unit of product, reflecting the principle of increasing costs.

Perfectly Competitive

A market structure where numerous small firms compete against each other selling identical products, and where no single firm can influence the market price.

Total Profit

The overall financial gain made by a business after subtracting all costs and expenses from the total revenue.