Question

determinati suma elementelor multimii A=(x apartine N cu proprietatea 1 mai mic decat x si mai mic sau egal decat 2 la puterea 100

Answer 1

A= {x|1<x≤2^100}

S=(1+2+3+....+2^100-1 +2^100)-1

S=[2^100 *(2^100+1)]/2-1

S=2^99(2^100 +1)-1

S=2^199 +2^99-1