Verify That $a _ { n } = 3 ^ { n } + 1$

question 102

Short Answer

Verify that $a _ { n } = 3 ^ { n } + 1$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Working Capital

A financial metric representing the difference between a company's current assets and its current liabilities, indicating the short-term financial health and operational efficiency.

Net Operating Income

A financial metric that calculates a company's profit after operating expenses are subtracted from operating revenues.

Required Rate

This is the minimum expected rate of return on an investment, dictating the least acceptable compensation for investing capital.

Salvage Value

A prediction of what an asset will be worth on the market at the close of its effective life.