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Calculati b=1+2+2^2+2^3+...+2^100 va rog mult


Răspuns :

b=1+2+2^2+2^3+...+2^100
b = 2^0+2^1+2^2+2^3+...+2^100 |×2
2×b= 2^1+2^2+2^3+2^4+...+2^101

2×b-b = 2^101 - 2^0
b = 2^101 - 1