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

question 122

Short Answer

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

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Definitions:

Annual Depreciation

The amount of an asset’s cost allocated each year over its useful life, reflecting its consumption, wear and tear, or obsolescence.

Useful Life

The estimated duration of time over which an asset is expected to be functional and contribute to a company's operations.

Revenue Expenditures

Short-term expenses incurred during normal business operations that are charged against revenue in the period they are incurred.

Capital Expenditures

Funds used by a company to acquire, upgrade, and maintain physical assets such as property, plants, buildings, technology, or equipment.