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Cum demonstrez ca nr.15+3^2014 se divide cu 24???

Răspuns :

15 +3² = 1·24
15+3^4 = (1+3)·24
15+3^6 = (1+3+3³ )·24
15+3^8 = (1+3+3³ +3^5)·24
15+3^10 = (1+3+3³ +3^5 +3^7)·24
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15+3^2014 = (1+3+3³ +......+3^2011)·24 divizibil cu 24