ex 4 va rog frumos dau coroana

Ex 4 Va Rog Frumos Dau Coroana class=

Răspuns :

Suma S=1+2+2^2+......+2^99=(2^100-1)/(2-1)=2*2^99-1=2*(2^3)^33-1=2*8^33-1
Atunci
2+2+2^2+....2^99=1+S=1+2*8^33-1=8^33
Ecuatia devine
a=(5*8^33)/8^33=5
Am notat ^ ridicarea la putere