Question: Let Fk, k E Z+ be Fibonacci's sequence. Prove the following expressions: (a) Fk = 3F-3 +2Fk-4, k > 4. (b) F} F_1 =

Let Fk, k E Z+ be Fibonacci's sequence. Prove the following expressions:

Let Fk, k E Z+ be Fibonacci's sequence. Prove the following expressions: (a) Fk = 3F-3 +2Fk-4, k > 4. (b) F} F_1 = F,F++1 Fr-1FR+1, k > 1. (c) Fr+2F# F+1 = (-1)*, k > 0.

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