Find Constants a and B So That the Given Expression $y _ { n }$

question 4

Multiple Choice

Find constants A and B so that the given expression $y _ { n }$ satisfies the specified difference equation. $n ^ { 2 } y _ { n } + n y _ { n - 1 } = 4 n - 2 n ^ { 3 } ; y _ { n } = A n + B$

• A) \(A = 2 , B = 2\)
• B) \(A = - 2 , B = - 2\)
• C) \(A = 2 , B = - 2\)
• D) \(A = - 2 , B = 2\)

---

Definitions:

Fair Values

The estimated market value of an asset or liability, reflecting the price at which it could be bought or sold in a current transaction between willing parties.

Private Enterprise

A business owned by private individuals or groups, operating for profit and not controlled by the state.

Consolidated Financial Statements

Combined financial documents that present the overall financial position of a parent company and its subsidiaries as one entity.

Cost Basis

The original value of an asset for tax purposes, usually the purchase price, which is used to calculate capital gains or losses when the asset is sold.