Question

Hey! URGENT!!!!!!!!!M-ati putea ajuta cu acest exercitiu √(1 + 2^0 + 2^1 + 2^2 + . + 2^2n-1)=2^15
 semnul ^ inseamna la putere
 Multumesc.dau 5 stele!!!!!!!!!!

Answer 1

S =1+1 +2 +2² +2³ +...........+2^(2n-1) = 2+2 +2² +2³+ ................+2^(2n-1) = 2²+2² +2³+..........+2^(2n-1) = 2³ +2³ +2^4 +.........+2^(2n-1) = ................... = 2^(2n-1) + 2^(2n-1) = 2^2n      √2^2n = 2^n =2^15  ⇒ n =15