Rewrite the Sum as a Rational Function S(n) $\sum _ { i = 1 } ^ { n } \frac { i ^ { 3 } } { n ^ { 3 } }$

question 52

Multiple Choice

Rewrite the sum as a rational function S(n) . $\sum _ { i = 1 } ^ { n } \frac { i ^ { 3 } } { n ^ { 3 } }$

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

---

Definitions:

Positive Symptoms

Symptoms of a disorder that are present and observed, typically referring to psychosis, such as hallucinations or delusions.

Schizophrenia

A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception and withdrawal from reality.

Behavioural Excesses

Actions or behaviors that occur too frequently or intensely, often indicating an imbalance or disorder.

Delusion

A false belief or judgment about external reality, held with conviction despite evidence to the contrary.