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Calculati x:
2+2^2+2^3+...+2^x=2^55-2


Răspuns :

Sn=(b1-bn*q)/(1-q)
2^55-2=(2-2^x*2)/(1-2)
2^55-2=2^x*2-2
2^55=2^(x+1)
55=x+1
x=54