The Sequence Is Defined Recursively

question 64

Multiple Choice

The sequence is defined recursively. Write the first four terms.
-a1 = 2, a2 = 5 and a_n = a_n- 2 - 3a_n- 1 for n ≥ 3

• A) 2, 5, -13, 44
• B) 2, 5, -1, -16
• C) 2, 5, 17, -46
• D) 2, 5, 1, 2

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Definitions:

Debt-to-asset Ratio

A financial ratio comparing the total debt of a company to its total assets, indicating how much of the company's assets are financed through debt.

Static Theory

A theoretical or analytical approach that assumes variables do not change over time or are observed at a single point in time, ignoring dynamics and fluctuations.

Capital Structure

The combination of borrowing and ownership capital that a business employs to fund its activities and expansion.

Financial Distress

A condition where a firm finds it challenging or impossible to cover its financial commitments to lenders.