Rewrite $\sum _ { i = 1 } ^ { n } \frac { 10 i + 10 } { n ^ { 2 } }$

question 162

Multiple Choice

Rewrite $\sum _ { i = 1 } ^ { n } \frac { 10 i + 10 } { n ^ { 2 } }$ as a rational function S(n) and find $\lim_ { n \rightarrow \infty } S ( n )$ .

• A) \(S ( n ) = \frac { 5 ( n + 1 ) + 10 } { n } , \lim _ { n \rightarrow \infty } S ( n ) = 0\)
• B) \(S ( n ) = \frac { 5 ( n + 1 ) + 10 } { n } , \lim _ { n \rightarrow \infty } S ( n ) = 5\)
• C) \(S ( n ) = \frac { 5 ( n + 1 ) + 10 } { n } , \lim _ { n \rightarrow \infty } S ( n ) = 10\)
• D) \(S ( n ) = \frac { 5 ( n + 1 ) + 10 } { n ^ { 2 } } , \lim _ { n \rightarrow \infty } S ( n ) = 0\)
• E) \(S ( n ) = \frac { 5 n ( n + 1 ) + 10 } { n ^ { 2 } } , \lim _ { n \rightarrow \infty } S ( n ) = 5\)

Calculate the additional equity financing required based on sales projections and asset/liability adjustments.

Analyze the effect of capacity operation on financial projections.

Calculate the pro forma net income based on projected sales increases.

Understand the relationship between dividend payout ratios and additions to retained earnings.

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