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What Form Does a Particular Solution of the Linear Nonhomogeneous an=4an14an2a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }

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What form does a particular solution of the linear nonhomogeneous recurrence relation an=4an14an2a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 } + F(n)F ( n ) have when F(n)=n2nF ( n ) = n 2 ^ { n } ?


Definitions:

Covered Interest Arbitrage

A strategy involving the conversion of currency into another at current exchange rates, investment in foreign interest-bearing instruments, and the simultaneous hedging of exchange rate risk with a forward contract.

Currency Futures

Standardized contracts to buy or sell a specific currency at a future date and at a predetermined price on the foreign exchange market.

Commodity Futures

Financial contracts obligating the buyer to purchase an asset or the seller to sell an asset, like a physical commodity or a financial instrument, at a predetermined future date and price.

Interest Rate Parity

A financial theory which suggests that the difference in interest rates between two countries is equal to the expected change in exchange rates between their currencies.

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