Verify That $a _ { n } = 3 ^ { n + 4 }$

question 19

Short Answer

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

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Definitions:

Mark-up

The upcharge on the cost of merchandise to accommodate overhead expenses and profitability.

Retail Price

The total cost at which a product is sold to the end consumer, inclusive of all taxes, shipping, and handling fees.

Operating Expenses

Costs associated with running a day-to-day business operation, such as salaries, rent, and utilities.

Mark-up

An extra charge on top of the cost price for items, aimed at covering both overhead expenses and profits, described in terms of a percentage of the initial cost.