A special sequence - Lycée Arago (Perpignan) Colegiul National B.P. Hasdeu (Buzau, Roumanie)
Titre du sujet:
A special sequence
Établissement:
- Lycée Arago (Perpignan)
Année:
- 2017-2018
Etablissement(s) jumelé(s):
- Colegiul National B.P. Hasdeu (Buzau, Roumanie)
Résumé:
A sequence of integers is defined by a_1=2,a_2=3 and, for each n≥2:
either a_(n+1)=2a_(n-1) or a_(n+1)=3a_n-2a_(n-1).
Can that sequence reach any of the following numbers: 17 ?21 ?1600?1536 ?2017 ?
Mots clés:
- suite