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Fie
sirul lui Fibonacci, cu
si
Sa se demonstreze egalitatile:
1)
2)
3)
5)
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--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Iata si demonstratia pentru cea de-a doua relatie:
--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Pentru cea de-a treia identitate avem:
--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Aplicam aceeasi metoda pentru a rezolva exercitiul 4).
--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Pentru 5) am un alt tip de demonstratie.
--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Acum sa ma odihnesc. Maine o sa am o zi plina si n-as dori sa se citeasca pe chipul meu oboseala.Noapte buna tuturor!
--- Q : How can we distinguish algebraists?
A : Just ask them what the group action is.
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Pornind tot de la sirul lui Fibonacci, sa se arate ca :
6)
(numarul de aur)
7)
8)
9)
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Sirul lui FIBONACCI fiind (pentru cei care nu stiu):
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