Question

5. Determinați suma elementelor mulțimii {x € N|1

Answer 1

Răspuns:

{$x$∈$N|1<x<=2^1^0^0$}

$S=2+3+4+5+6+....+2^1^0^0$ (Suma lui Gauss fara 1)

$S=\frac{2^1^0^0*(2^1^0^0+1)}{2} -1=2^9^9*(2^1^0^0+1)-1=2^1^9^9+2^9^9-1$