Rewrite the Sum as a Rational Function S(n) $\sum _ { i = 1 } ^ { n } \frac { i } { n ^ { 4 } }$

question 37

Multiple Choice

Rewrite the sum as a rational function S(n) . $\sum _ { i = 1 } ^ { n } \frac { i } { n ^ { 4 } }$

• A) \(S ( n ) = \frac { n + 1 } { 2 n ^ { 5 } }\)
• B) \(S ( n ) = \frac { n + 1 } { 2 n ^ { 6 } }\)
• C) \(S ( n ) = \frac { n + 1 } { 2 n ^ { 3 } }\)
• D) \(S ( n ) = \frac { n + 1 } { 2 n ^ { 7 } }\)
• E) \(S ( n ) = \frac { n + 1 } { 2 n ^ { 4 } }\)

---

Definitions:

Total Costs

The complete sum of all expenses a business incurs to produce its goods or services, including both fixed and variable costs.

Output

The cumulative quantity of products or services generated by a corporation, sector, or nation.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the quantity of output produced; represents the per unit cost of production.

Marginal Cost

The price increase caused by the creation of one more unit of a product or service.